Volume of prisms and pyramids
Grade 7 Math Worksheet

Circle the best answer, or write your answer on the line.
Milo's music box is 9/2 in long, 5/2 in wide and 4/3 in tall. It plays one very long song. What is its volume in cubic inches?
Pia's cheese block is a prism 5 cm long. Its end is a right triangle: base 12, height 9, slanted side 15 cm. It has lots of holes. What is its volume in cubic cm?
Sketch, not to scale. The end of the prism is a right triangle: base 12 cm, height 9 cm, slanted side 15 cm. The prism is 5 cm long. Sketch, not to scale. The end of the prism is a right triangle: base 12 cm, height 9 cm, slanted side 15 cm. The prism is 5 cm long. 12 cm 5 cm 9 cm 15 cm Not to scale Ari's cart basket is a prism 2.5 ft long. Its end is a trapezoid: parallel sides 3.4 and 2.2, height 1.6, slanted side 2 ft. It squeaks. What is its volume in cubic feet?
Sketch, not to scale. The end of the prism is a trapezoid: parallel sides 3.4 ft and 2.2 ft, height 1.6 ft between them, slanted side 2 ft. The prism is 2.5 ft long. Sketch, not to scale. The end of the prism is a trapezoid: parallel sides 3.4 ft and 2.2 ft, height 1.6 ft between them, slanted side 2 ft. The prism is 2.5 ft long. 3.4 ft 2.2 ft 2 ft 2.5 ft 1.6 ft Not to scale Kira's pyramid tent is a square pyramid: base 6 ft by 6 ft, height 4 ft, face height 5 ft. It has a very pointy top. What is its volume in cubic feet?
Sketch, not to scale. A pyramid with a square base 6 ft by 6 ft. The dashed height 4 ft goes straight up to the tip; each face is 5 ft high, measured along the face from the middle of a base edge to the tip. Sketch, not to scale. A pyramid with a square base 6 ft by 6 ft. The dashed height 4 ft goes straight up to the tip; each face is 5 ft high, measured along the face from the middle of a base edge to the tip. 4 ft 5 ft 6 ft Not to scale Luz's castle roof is a square pyramid: base 12 cm by 12 cm, height 8 cm, face height 10 cm. It is the highest roof in town. What is its volume in cubic cm?
Sketch, not to scale. A pyramid with a square base 12 cm by 12 cm. The dashed height 8 cm goes straight up to the tip; each face is 10 cm high, measured along the face from the middle of a base edge to the tip. Sketch, not to scale. A pyramid with a square base 12 cm by 12 cm. The dashed height 8 cm goes straight up to the tip; each face is 10 cm high, measured along the face from the middle of a base edge to the tip. 8 cm 10 cm 12 cm Not to scale Ren's storage box holds 24 cubic inches. Ren makes its height 3 times as long. It is extra roomy now. What is its new volume in cubic inches?
Sketch, not to scale. A box that holds 24 cubic inches. Its height is stretched to 3 times as long; the other two edges stay the same. Sketch, not to scale. A box that holds 24 cubic inches. Its height is stretched to 3 times as long; the other two edges stay the same. 24 cubic inches height 3 times as long Sketch, not to scale. The other two edges stay the same. Zee's lunch box holds 30 cubic inches. Zee makes its width 4 times as long. Snacks will fit better. What is its new volume in cubic inches?
Sketch, not to scale. A box that holds 30 cubic inches. Its width is stretched to 4 times as long; the other two edges stay the same. Sketch, not to scale. A box that holds 30 cubic inches. Its width is stretched to 4 times as long; the other two edges stay the same. 30 cubic inches Its width is stretched to 4 times as long; the other two edges stay the same. Not to scale. Pia's cheese wedge is a prism. Its end is a triangle: base 24, height 10, slanted side 26 cm. It smells great. What is its end's area (one layer) in square cm?
Sketch, not to scale. The end of the prism is a triangle: base 24 cm, height 10 cm straight up from the base, slanted side 26 cm. Sketch, not to scale. The end of the prism is a triangle: base 24 cm, height 10 cm straight up from the base, slanted side 26 cm. 24 cm 10 cm 26 cm Not to scale. Zee's recycling bin is a prism. Its end is a trapezoid: parallel sides 15 and 10, height 12, slanted side 13 in. Always ready. What is its end's area (one layer) in square inches?
Sketch, not to scale. The end of the prism is a trapezoid: parallel sides 15 in and 10 in, height 12 in between them, slanted side 13 in. Sketch, not to scale. The end of the prism is a trapezoid: parallel sides 15 in and 10 in, height 12 in between them, slanted side 13 in. 15 in 10 in 13 in 12 in Not to scale Bo's cart basket is a prism. Its end is a trapezoid: parallel sides 3.8 and 2.6, height 1.6, slanted side 2 ft. It squeaks. What is its end's area (one layer) in square feet?
Sketch, not to scale. The end of the prism is a trapezoid: parallel sides 3.8 ft and 2.6 ft, height 1.6 ft between them, slanted side 2 ft. Sketch, not to scale. The end of the prism is a trapezoid: parallel sides 3.8 ft and 2.6 ft, height 1.6 ft between them, slanted side 2 ft. 3.8 ft 2.6 ft 2 ft 1.6 ft Not to scale