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

Circle the best answer, or write your answer on the line.
Esme's wooden block is 4.5 cm long, 2 cm wide and 3 cm tall, built from layers 1 cm tall. It has been in many towers. What is its volume in cubic cm?
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. Milo's snack wedge is a prism 7 cm long. Its end is half of a rectangle 3 cm by 4 cm. It disappears at snack time. 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 3 cm, height 4 cm and slanted side 5 cm. A turned copy beside it makes a rectangle 3 by 4. A side sketch, not to scale, shows the prism 7 cm long. Grid, each square 1 cm by 1 cm. The end of the prism: a right triangle with base 3 cm, height 4 cm and slanted side 5 cm. A turned copy beside it makes a rectangle 3 by 4. A side sketch, not to scale, shows the prism 7 cm long. Grid, each square 1 cm by 1 cm. 3 cm 4 cm 5 cm rectangle 3 by 4 Side sketch 7 cm Not to scale. Noah's craft box is a prism 3 in long. Its end is a trapezoid: parallel sides 5.5 and 2.5 in, height 4 in. The glitter went everywhere. 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 5.5 in, top side 2.5 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 8 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 5.5 in, top side 2.5 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 8 in wide and 4 in tall. A side sketch, not to scale, shows the prism 3 in long. 5.5 in 2.5 in 4 in 5 in 8 in 3 in Not to scale. Pia's treasure box is a prism 2 in long. Its end is a trapezoid: parallel sides 4.5 and 1.5 in, height 4 in. It guards one shiny button. 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 4.5 in, top side 1.5 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 6 in wide and 4 in tall. A side sketch, not to scale, shows the prism 2 in long. Grid, each square 0.5 in by 0.5 in. The end of the prism: a trapezoid with bottom side 4.5 in, top side 1.5 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 6 in wide and 4 in tall. A side sketch, not to scale, shows the prism 2 in long. 4.5 in 1.5 in 4 in, the height 5 in 6 in wide 4 in tall 2 in long A second copy, turned upside down, fits against the slanted side. A side sketch, not to scale, shows the prism 2 in long. 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. Esme's castle tower roof has a base of 64 square cm and is 9 cm tall. Three of these pyramids fill the matching prism. A tiny flag waves. What is its volume in cubic cm?
Sketch, not to scale. A pyramid and a prism with the same base (64 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 (64 square cm) and the same height (9 cm). Three pyramids fill the prism. Sketch, not to scale. 9 cm base: 64 square cm pyramid 9 cm base: 64 square cm prism Three pyramids fill the prism. Kira's toy ramp is a prism. Its end is half of a rectangle 0.9 cm by 1.2 cm, with slanted side 1.5 cm. Wheels ready. What is its end's area (one layer) in square cm?
Grid, each square 0.3 cm by 0.3 cm. The end of the prism: a right triangle with base 0.9 cm, height 1.2 cm and slanted side 1.5 cm. A turned copy beside it makes a rectangle 0.9 by 1.2. Grid, each square 0.3 cm by 0.3 cm. The end of the prism: a right triangle with base 0.9 cm, height 1.2 cm and slanted side 1.5 cm. A turned copy beside it makes a rectangle 0.9 by 1.2. 0.9 cm 1.2 cm 1.5 cm rectangle 0.9 by 1.2 Grid, each square 0.3 cm by 0.3 cm. The end of the prism: a right triangle. A turned copy beside it makes a rectangle 0.9 by 1.2. Not to scale. 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