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?
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. 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. 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. 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. Ari's pyramid tent has a base of 27 square ft and is 4 ft tall. Three of these pyramids fill the matching prism. The marshmallows are waiting. What is its volume in cubic feet?
Sketch, not to scale. A pyramid and a prism with the same base (27 square ft) and the same height (4 ft). Three pyramids fill the prism. Sketch, not to scale. A pyramid and a prism with the same base (27 square ft) and the same height (4 ft). Three pyramids fill the prism. pyramid 4 ft base 27 square ft prism same height 4 ft same base 27 square ft Three pyramids fill the prism. 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. 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 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