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7th grade Volume of prisms and pyramids worksheet

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Volume of prisms and pyramids

Grade 7 Math Worksheet - Challenge Me

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Circle the best answer, or write your answer on the line.

  1. Ari's cheese wedge is a prism with a volume of 120 cubic cm. Its end is a triangle: base 8 cm, height 6 cm. What a wedge! How long is the prism in cm?

  2. Bo's toy ramp is a prism with a volume of 240 cubic inches. Its end is a triangle: base 12 in, height 5 in. It looks fast. How long is the prism in inches?

  3. Sketch, not to scale. Milo's pyramid tent has a triangle for a base: base 6 cm, height 5 cm. It is 8 cm tall. A flag waves. What is its volume in cubic cm?

  4. Noah's playhouse roof has a triangle for a base: base 9 in, height 4 in. It is 5 in tall. A chimney peeks out. What is its volume in cubic inches?

  5. Ren's model house is a box 10 cm long, 6 wide and 5 tall. Its triangle roof is 4 cm high. The windows are painted on. What is its total volume in cubic cm?

  6. Tala's doghouse is a box 4 ft long, 3 wide and 2.5 tall. Its triangle roof is 2 ft high. It has a bone sign. What is its total volume in cubic feet?

  7. Zee's playhouse is a box 8 ft long, 6 wide and 6 tall. Its triangle roof is 4 ft high. The door is just the right size. What is its total volume in cubic feet?

  8. Ari's castle tower is a box 6 cm by 6 cm by 8 cm with a pyramid roof 4 cm high. A tiny flag waves on top. What is its total volume in cubic cm?

  9. Jun's storage box holds 24 cubic inches. Jun makes its height 1/2 as long. It is a bit tight now. What is its new volume in cubic inches?

  10. Luz's lunch box holds 64 cubic inches. Luz makes its width 1/4 as long. It holds one cracker. What is its new volume in cubic inches?

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7th grade Volume of prisms and pyramids worksheet – printable
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About this worksheet

Volume of prisms and pyramids. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can find the volume of a prism by finding the area of its end (one layer) and stacking it along the length, even when the end is a triangle or a trapezoid.
  • I can find the volume of a pyramid as one third of the prism with the same base and height, and work back to a missing length or height.
  • I can say how the volume changes when one edge gets longer or shorter, and add the parts of a solid made of two shapes.

Standard: 7.G.B.6 (prisms and shapes built from cubes and prisms; CCSS K–8 has no pyramid volume)

Words to know

prism: A solid with two matching ends and flat sides. Its layers are all the same shape.

pyramid: A solid with one flat base and flat faces that meet at a point (the tip).

base (end): The flat shape that is stacked, layer by layer, to make a prism.

height of a pyramid: The straight-up distance from the base to the tip.

face height (slant): How far it is along a face from the base edge to the tip. It leans, so it is longer than the height.

volume: How much space is inside a solid, counted in cubes.

cubic centimeter (inch, foot): The volume of a cube 1 centimeter (inch, foot) on every edge.

Common mistakes

Your child added the three edges instead of multiplying. Fill a small box with cubes together: count one floor layer, then count how many layers stack up.

Your child found the area of the floor or the end and stopped before stacking it.

Your child used the rectangle around a triangle or trapezoid end and forgot that the end is only half of it. Cut two paper copies of the end shape and fit them into a rectangle together.

What to say

Ask: how many layers like that fit in the height or the length?

Questions parents ask

What is the most common mistake with volume of prisms and pyramids?

Your child added the three edges instead of multiplying. Fill a small box with cubes together: count one floor layer, then count how many layers stack up.

Are these 7th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

More grade 7 math

See all grade 7 math

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