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Volume and Surface Area

The volume and surface area worksheets on this page start with requiring students to calculate area and perimeter of basic solids such as cubes, prisms, cones and spheres. Additional worksheets with compound shapes require students to calculate missing dimensions and use problem solving skills and strategies to calculate volume and surface area.

All of these worksheets include answer keys that break down the strategies used to solve the volume and surface area problems. In cases where multiple steps are required, each individual volume or surface area calculation is shown as well as how it is added or subtracted to get the final surface area and volume values for the answer.

Volume and Surface Area of Simple 3D Solids

The volume and surface area worksheets on this page start with requiring students to calculate area and perimeter of basic solids such as cubes, prisms, cones and spheres. Additional worksheets with compound shapes require students to calculate missing dimensions and use problem solving skills and strategies to calculate volume and surface area. Cubes And Rectangular Prisms V1Cubes And Rectangular Prisms V1
The volume and surface area worksheets on this page start with requiring students to calculate area and perimeter of basic solids such as cubes, prisms, cones and spheres. Additional worksheets with compound shapes require students to calculate missing dimensions and use problem solving skills and strategies to calculate volume and surface area. Cubes And Rectangular Prisms V2Cubes And Rectangular Prisms V2
The volume and surface area worksheets on this page start with requiring students to calculate area and perimeter of basic solids such as cubes, prisms, cones and spheres. Additional worksheets with compound shapes require students to calculate missing dimensions and use problem solving skills and strategies to calculate volume and surface area. Cubes And Rectangular Prisms V3Cubes And Rectangular Prisms V3
The volume and surface area worksheets on this page start with requiring students to calculate area and perimeter of basic solids such as cubes, prisms, cones and spheres. Additional worksheets with compound shapes require students to calculate missing dimensions and use problem solving skills and strategies to calculate volume and surface area. Cubes And Rectangular Prisms V4Cubes And Rectangular Prisms V4
The volume and surface area worksheets on this page start with requiring students to calculate area and perimeter of basic solids such as cubes, prisms, cones and spheres. Additional worksheets with compound shapes require students to calculate missing dimensions and use problem solving skills and strategies to calculate volume and surface area. Cylinders Cones And Spheres V1Cylinders Cones And Spheres V1
The volume and surface area worksheets on this page start with requiring students to calculate area and perimeter of basic solids such as cubes, prisms, cones and spheres. Additional worksheets with compound shapes require students to calculate missing dimensions and use problem solving skills and strategies to calculate volume and surface area. Cylinders Cones And Spheres V2Cylinders Cones And Spheres V2
The volume and surface area worksheets on this page start with requiring students to calculate area and perimeter of basic solids such as cubes, prisms, cones and spheres. Additional worksheets with compound shapes require students to calculate missing dimensions and use problem solving skills and strategies to calculate volume and surface area. Cylinders Cones And Spheres V3Cylinders Cones And Spheres V3
The volume and surface area worksheets on this page start with requiring students to calculate area and perimeter of basic solids such as cubes, prisms, cones and spheres. Additional worksheets with compound shapes require students to calculate missing dimensions and use problem solving skills and strategies to calculate volume and surface area. Cylinders Cones And Spheres V4Cylinders Cones And Spheres V4
The volume and surface area worksheets on this page start with requiring students to calculate area and perimeter of basic solids such as cubes, prisms, cones and spheres. Additional worksheets with compound shapes require students to calculate missing dimensions and use problem solving skills and strategies to calculate volume and surface area. Pyramids And Triangular Prisms V1Pyramids And Triangular Prisms V1
The volume and surface area worksheets on this page start with requiring students to calculate area and perimeter of basic solids such as cubes, prisms, cones and spheres. Additional worksheets with compound shapes require students to calculate missing dimensions and use problem solving skills and strategies to calculate volume and surface area. Pyramids And Triangular Prisms V2Pyramids And Triangular Prisms V2
The volume and surface area worksheets on this page start with requiring students to calculate area and perimeter of basic solids such as cubes, prisms, cones and spheres. Additional worksheets with compound shapes require students to calculate missing dimensions and use problem solving skills and strategies to calculate volume and surface area. Pyramids And Triangular Prisms V3Pyramids And Triangular Prisms V3
The volume and surface area worksheets on this page start with requiring students to calculate area and perimeter of basic solids such as cubes, prisms, cones and spheres. Additional worksheets with compound shapes require students to calculate missing dimensions and use problem solving skills and strategies to calculate volume and surface area. Pyramids And Triangular Prisms V4Pyramids And Triangular Prisms V4

Volume and Surface Area of Complex 3D Solids

The volume and surface area worksheets on this page start with requiring students to calculate area and perimeter of basic solids such as cubes, prisms, cones and spheres. Additional worksheets with compound shapes require students to calculate missing dimensions and use problem solving skills and strategies to calculate volume and surface area. Rectangles And Semi Circles V1Rectangles And Semi Circles V1
The volume and surface area worksheets on this page start with requiring students to calculate area and perimeter of basic solids such as cubes, prisms, cones and spheres. Additional worksheets with compound shapes require students to calculate missing dimensions and use problem solving skills and strategies to calculate volume and surface area. Rectangles And Semi Circles V2Rectangles And Semi Circles V2
The volume and surface area worksheets on this page start with requiring students to calculate area and perimeter of basic solids such as cubes, prisms, cones and spheres. Additional worksheets with compound shapes require students to calculate missing dimensions and use problem solving skills and strategies to calculate volume and surface area. Rectangles And Semi Circles V3Rectangles And Semi Circles V3
The volume and surface area worksheets on this page start with requiring students to calculate area and perimeter of basic solids such as cubes, prisms, cones and spheres. Additional worksheets with compound shapes require students to calculate missing dimensions and use problem solving skills and strategies to calculate volume and surface area. Rectangles And Semi Circles V4Rectangles And Semi Circles V4
The volume and surface area worksheets on this page start with requiring students to calculate area and perimeter of basic solids such as cubes, prisms, cones and spheres. Additional worksheets with compound shapes require students to calculate missing dimensions and use problem solving skills and strategies to calculate volume and surface area. Rectangles And Squares V1Rectangles And Squares V1
The volume and surface area worksheets on this page start with requiring students to calculate area and perimeter of basic solids such as cubes, prisms, cones and spheres. Additional worksheets with compound shapes require students to calculate missing dimensions and use problem solving skills and strategies to calculate volume and surface area. Rectangles And Squares V2Rectangles And Squares V2
The volume and surface area worksheets on this page start with requiring students to calculate area and perimeter of basic solids such as cubes, prisms, cones and spheres. Additional worksheets with compound shapes require students to calculate missing dimensions and use problem solving skills and strategies to calculate volume and surface area. Rectangles And Squares V3Rectangles And Squares V3
The volume and surface area worksheets on this page start with requiring students to calculate area and perimeter of basic solids such as cubes, prisms, cones and spheres. Additional worksheets with compound shapes require students to calculate missing dimensions and use problem solving skills and strategies to calculate volume and surface area. Rectangles And Squares V4Rectangles And Squares V4
The volume and surface area worksheets on this page start with requiring students to calculate area and perimeter of basic solids such as cubes, prisms, cones and spheres. Additional worksheets with compound shapes require students to calculate missing dimensions and use problem solving skills and strategies to calculate volume and surface area. Rectangles And Squares V5Rectangles And Squares V5
The volume and surface area worksheets on this page start with requiring students to calculate area and perimeter of basic solids such as cubes, prisms, cones and spheres. Additional worksheets with compound shapes require students to calculate missing dimensions and use problem solving skills and strategies to calculate volume and surface area. Rectangles And Squares V6Rectangles And Squares V6
The volume and surface area worksheets on this page start with requiring students to calculate area and perimeter of basic solids such as cubes, prisms, cones and spheres. Additional worksheets with compound shapes require students to calculate missing dimensions and use problem solving skills and strategies to calculate volume and surface area. Rectangles And Squares V7Rectangles And Squares V7
The volume and surface area worksheets on this page start with requiring students to calculate area and perimeter of basic solids such as cubes, prisms, cones and spheres. Additional worksheets with compound shapes require students to calculate missing dimensions and use problem solving skills and strategies to calculate volume and surface area. Rectangles And Squares V8Rectangles And Squares V8
The volume and surface area worksheets on this page start with requiring students to calculate area and perimeter of basic solids such as cubes, prisms, cones and spheres. Additional worksheets with compound shapes require students to calculate missing dimensions and use problem solving skills and strategies to calculate volume and surface area. Rectangles And Triangles V1Rectangles And Triangles V1
The volume and surface area worksheets on this page start with requiring students to calculate area and perimeter of basic solids such as cubes, prisms, cones and spheres. Additional worksheets with compound shapes require students to calculate missing dimensions and use problem solving skills and strategies to calculate volume and surface area. Rectangles And Triangles V2Rectangles And Triangles V2
The volume and surface area worksheets on this page start with requiring students to calculate area and perimeter of basic solids such as cubes, prisms, cones and spheres. Additional worksheets with compound shapes require students to calculate missing dimensions and use problem solving skills and strategies to calculate volume and surface area. Rectangles And Triangles V3Rectangles And Triangles V3
The volume and surface area worksheets on this page start with requiring students to calculate area and perimeter of basic solids such as cubes, prisms, cones and spheres. Additional worksheets with compound shapes require students to calculate missing dimensions and use problem solving skills and strategies to calculate volume and surface area. Rectangles And Triangles V4Rectangles And Triangles V4

Perimeter, Volume and Surface Area of Complex 3D Solids

The volume and surface area worksheets on this page start with requiring students to calculate area and perimeter of basic solids such as cubes, prisms, cones and spheres. Additional worksheets with compound shapes require students to calculate missing dimensions and use problem solving skills and strategies to calculate volume and surface area. Rectangles And Semi Circles V1Rectangles And Semi Circles V1
The volume and surface area worksheets on this page start with requiring students to calculate area and perimeter of basic solids such as cubes, prisms, cones and spheres. Additional worksheets with compound shapes require students to calculate missing dimensions and use problem solving skills and strategies to calculate volume and surface area. Rectangles And Semi Circles V2Rectangles And Semi Circles V2
The volume and surface area worksheets on this page start with requiring students to calculate area and perimeter of basic solids such as cubes, prisms, cones and spheres. Additional worksheets with compound shapes require students to calculate missing dimensions and use problem solving skills and strategies to calculate volume and surface area. Rectangles And Semi Circles V3Rectangles And Semi Circles V3
The volume and surface area worksheets on this page start with requiring students to calculate area and perimeter of basic solids such as cubes, prisms, cones and spheres. Additional worksheets with compound shapes require students to calculate missing dimensions and use problem solving skills and strategies to calculate volume and surface area. Rectangles And Semi Circles V4Rectangles And Semi Circles V4

Calculating Volume and Surface Area of Compound Solids

The worksheets on this page require students to calculate volume and surface area for solid shapes that composed from multiple extrusions or primitives. In some cases, the student is asked to calculate the perimeter of a 2D shape so that they can use the value to calculate the surface area of the extruded dimension. In other cases, the shapes are structured from subtracted solids, so the student will need to calculate a larger volume and then subtract the removed volume to arrive at the correct volume measurement.

Calculating the Surface Area of Simple Solids

Surface area of solids is calculated by adding up the surface area of the solid's individual surfaces. Here's a summary of the basic surface area formulas for primitive solids...

ShapeFormula
Area of Cube A cube = 6 x 2
Area of Right Rectangular Prism A prism = 2lw + 2lh + 2wh
Area of Sphere A sphere = 4 π r 2
Area of Cylinder A Cylinder = 2πr2 + 2πrh
Area of Cone A Cone = πr r + h2+r2

Calculating Volume of Simple Solids

The volume of simple three dimensional solids van be calculated using the basic formulas you learned in 5th, 6th and 7th grade math classes. Here's a list of these volume formulas that you can use when completing the worksheets on this page...

ShapeFormula
Volume of Cube V cube = x 3
Volume of Right Rectangular Prism V prism = lwh
Volume of Sphere V sphere =43πr3
Volume of Cylinder V Cylinder = πr2h
Volume of Cone V Cone = 13 πr2h
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