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Grade 8 Math: Volume and Surface Area of Prisms

This worksheet focuses on calculating the volume and surface area of various prisms, including rectangular and triangular prisms, for Grade 8 math students.

Grade 8 Math GeometryVolume and Surface Area of Prisms
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Includes

4 Short AnswerMultiple ChoiceFill in the Blanks

Standards

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

Topics

mathgeometryvolumesurface areaprismsgrade 8
8 sections · Free to use · Printable
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Volume and Surface Area of Prisms

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Read each question carefully and calculate the volume or surface area of the prisms as indicated. Show all your work.

1. Find 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 rectangular storage container is 10 meters long, 4 meters wide, and 6 meters high. What is its volume?

3. Calculate the surface area of a rectangular prism with dimensions 7 inches by 2 inches by 4 inches.

7 in2 in4 in

4. A gift box has a length of 12 cm, a width of 8 cm, and a height of 5 cm. What is the total surface area of the box?

5. Find the volume of a triangular prism with a base triangle having a base of 6 cm and a height of 4 cm. The length of the prism is 10 cm.

6 cm4 cm10 cm

6. A triangular prism has a base that is an equilateral triangle with side lengths of 5 meters. The height of the triangular base is approximately 4.33 meters. The length of the prism is 8 meters. Calculate the surface area of the prism.

7. Which formula is used to find the volume of any prism?

a

V = lwh

b

V = Bh

c

V = πr²h

d

V = (1/3)Bh

8. The surface area of a prism is the sum of the areas of all its  .

9. A rectangular prism has   faces.