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

Circle the best answer, or write your answer on the line.
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?
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. 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. 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 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. Luz's craft box is a prism. Its end is a trapezoid: parallel sides 8 and 5 in, height 4 in. Glitter everywhere. 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 8 in, top side 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 13 in wide and 4 in tall. Grid, each square 1 in by 1 in. The end of the prism: a trapezoid with bottom side 8 in, top side 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 13 in wide and 4 in tall. 8 in 5 in 4 in 5 in 13 in 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 Noah's model recycling bin is a prism. Its end is a trapezoid: parallel sides 7 and 4 in, height 4 in. It is tidy. 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 7 in, top side 4 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 11 in wide and 4 in tall. Grid, each square 1 in by 1 in. The end of the prism: a trapezoid with bottom side 7 in, top side 4 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 11 in wide and 4 in tall. 7 in 4 in 4 in 5 in 11 in