Volume of prisms and pyramids
Grade 7 Math Worksheet - Building Confidence

Circle the best answer, or write your answer on the line.
Ari's gift box is 3.5 in long, 2 in wide and 4 in tall, built from layers 1 in tall. The ribbon is extra curly. What is its volume in cubic inches?
Jun's cheese wedge is a prism 5 cm long. Its end is half of a rectangle 8 cm by 6 cm. The mice have heard about it. What is its volume in cubic cm?
Grid, each square 1 cm by 1 cm. The end of the prism: a right triangle with base 8 cm, height 6 cm and slanted side 10 cm. A turned copy beside it makes a rectangle 8 by 6. A side sketch, not to scale, shows the prism 5 cm long. Grid, each square 1 cm by 1 cm. The end of the prism: a right triangle with base 8 cm, height 6 cm and slanted side 10 cm. A turned copy beside it makes a rectangle 8 by 6. A side sketch, not to scale, shows the prism 5 cm long. Grid, each square 1 cm by 1 cm 8 cm 6 cm 10 cm The end of the prism is a right triangle. A turned copy beside it makes a rectangle 8 by 6. side sketch 5 cm Not to scale. Kira's toy ramp is a prism 6 in long. Its end is half of a rectangle 12 in by 5 in. A toy car is warming up. What is its volume in cubic inches?
Grid, each square 1 in by 1 in. The end of the prism: a right triangle with base 12 in, height 5 in and slanted side 13 in. A turned copy beside it makes a rectangle 12 by 5. A side sketch, not to scale, shows the prism 6 in long. Grid, each square 1 in by 1 in. The end of the prism: a right triangle with base 12 in, height 5 in and slanted side 13 in. A turned copy beside it makes a rectangle 12 by 5. A side sketch, not to scale, shows the prism 6 in long. End of the prism 12 in 5 in 13 in Turned copy 12 5 Side sketch 6 in Not to scale. Ren's toy cart basket is a prism 3 in long. Its end is a trapezoid: parallel sides 5 and 2 in, height 4 in. It rolls squeakily. What is its volume in cubic inches?
Grid, each square 0.5 in by 0.5 in. The end of the prism: a trapezoid with bottom side 5 in, top side 2 in, left side straight up (4 in, the height) and right side slanted (5 in). A second copy, turned upside down, fits against the slanted side; the two make a rectangle 7 in wide and 4 in tall. A side sketch, not to scale, shows the prism 3 in long. Grid, each square 0.5 in by 0.5 in. The end of the prism: a trapezoid with bottom side 5 in, top side 2 in, left side straight up (4 in, the height) and right side slanted (5 in). A second copy, turned upside down, fits against the slanted side; the two make a rectangle 7 in wide and 4 in tall. A side sketch, not to scale, shows the prism 3 in long. Grid, each square 0.5 in by 0.5 in bottom side 5 in top side 2 in left side straight up 4 in right side slanted 5 in rectangle 7 in wide and 4 in tall side sketch prism 3 in long Not to scale. Tala's model recycling bin is a prism 3.5 in long. Its end is a trapezoid: parallel sides 6 and 3 in, height 4 in. It is tidy. What is its volume in cubic inches?
Grid, each square 1 in by 1 in. The end of the prism: a trapezoid with bottom side 6 in, top side 3 in, left side straight up (4 in, the height) and right side slanted (5 in). A second copy, turned upside down, fits against the slanted side; the two make a rectangle 9 in wide and 4 in tall. A side sketch, not to scale, shows the prism 3.5 in long. Grid, each square 1 in by 1 in. The end of the prism: a trapezoid with bottom side 6 in, top side 3 in, left side straight up (4 in, the height) and right side slanted (5 in). A second copy, turned upside down, fits against the slanted side; the two make a rectangle 9 in wide and 4 in tall. A side sketch, not to scale, shows the prism 3.5 in long. Grid, each square 1 in by 1 in 6 in 3 in 4 in 5 in 9 in 4 in A side sketch, not to scale, shows the prism 3.5 in long. Zee's castle tower roof has a base of 36 square cm and is 5 cm tall. Three of these pyramids fill the matching prism. Flag up. What is its volume in cubic cm?
Sketch, not to scale. A pyramid and a prism with the same base (36 square cm) and the same height (5 cm). Three pyramids fill the prism. Sketch, not to scale. A pyramid and a prism with the same base (36 square cm) and the same height (5 cm). Three pyramids fill the prism. 5 cm 5 cm same base (36 square cm) and the same height (5 cm). Three pyramids fill the prism. Not to scale. Bo's playhouse roof has a base of 16 square cm and is 9 cm tall. Three of these pyramids fill the matching prism. A chimney peeks out. What is its volume in cubic cm?
Sketch, not to scale. A pyramid and a prism with the same base (16 square cm) and the same height (9 cm). Three pyramids fill the prism. Sketch, not to scale. A pyramid and a prism with the same base (16 square cm) and the same height (9 cm). Three pyramids fill the prism. Same base: 16 square cm; same height: 9 cm Three pyramids fill the prism. Not to scale. Esme's cheese wedge is a prism. Its end is half of a rectangle 9 cm by 12 cm, with slanted side 15 cm. Mice approve. What is its end's area (one layer) in square cm?
Grid, each square 1 cm by 1 cm. The end of the prism: a right triangle with base 9 cm, height 12 cm and slanted side 15 cm. A turned copy beside it makes a rectangle 9 by 12. Grid, each square 1 cm by 1 cm. The end of the prism: a right triangle with base 9 cm, height 12 cm and slanted side 15 cm. A turned copy beside it makes a rectangle 9 by 12. 9 cm 12 cm 15 cm Jun's toy ramp is a prism. Its end is half of a rectangle 20 cm by 15 cm, with slanted side 25 cm. Zoom zoom. What is its end's area (one layer) in square cm?
Grid, each square 1 cm by 1 cm. The end of the prism: a right triangle with base 20 cm, height 15 cm and slanted side 25 cm. A turned copy beside it makes a rectangle 20 by 15. Grid, each square 1 cm by 1 cm. The end of the prism: a right triangle with base 20 cm, height 15 cm and slanted side 25 cm. A turned copy beside it makes a rectangle 20 by 15. 20 cm 15 cm 25 cm Milo's treasure box is a prism. Its end is a trapezoid: parallel sides 4 and 1 in, height 4 in. Shiny inside. What is its end's area (one layer) in square inches?
Grid, each square 1 in by 1 in. The end of the prism: a trapezoid with bottom side 4 in, top side 1 in, left side straight up (4 in, the height) and right side slanted (5 in). A second copy, turned upside down, fits against the slanted side; the two make a rectangle 5 in wide and 4 in tall. Grid, each square 1 in by 1 in. The end of the prism: a trapezoid with bottom side 4 in, top side 1 in, left side straight up (4 in, the height) and right side slanted (5 in). A second copy, turned upside down, fits against the slanted side; the two make a rectangle 5 in wide and 4 in tall. 4 in 1 in 4 in 5 in 5 in 4 in