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Grade 8 Volume and Surface Area Worksheet

A comprehensive worksheet for 8th-grade students covering the calculation of volume and surface area for various 3D shapes, including cubes, rectangular prisms, cylinders, and spheres.

Grade 8 Math GeometryVolume and Surface Area
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Includes

3 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.8.G.C.9

Topics

mathgeometryvolumesurface area8th grade
8 sections · Free to use · Printable
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Grade 8 Volume and Surface Area

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Read each question carefully and show your work. Use π ≈ 3.14 for calculations involving circles and cylinders.

1. Calculate the volume of a rectangular prism with a length of 8 cm, a width of 5 cm, and a height of 3 cm.

8 cm5 cm3 cm

2. A box has dimensions 10 inches by 6 inches by 4 inches. What is its volume?

3. The surface area of a cube with side length 5 cm is  .

4. If a cube has a surface area of 96 square meters, then each side length is   meters.

5. A cylinder has a radius of 3 cm and a height of 10 cm. Calculate its volume.

10 cm3 cm

6. Calculate the total surface area of the cylinder from question 5.

7. Which formula is used to calculate the volume of a sphere?

a

V = πr²h

b

V = 4/3πr³

c

V = lwh

d

V = Bh

8. What is the surface area of a sphere with a radius of 7 cm? (Use π ≈ 3.14)

a

153.86 cm²

b

615.44 cm²

c

307.72 cm²

d

492.6 cm²

9. The volume of a cone is one-third the volume of a cylinder with the same base and height.

T

True

F

False

10. A spherical ball has a diameter of 12 inches. What is its volume? (Use π ≈ 3.14)