Volume of prisms and pyramids
Grade 7 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.
Bo's toy ramp is a prism with a volume of 240 cubic inches. Its end is a triangle: base 12 in, height 5 in. It looks fast. How long is the prism in inches?
Esme's camping tent is a prism with a volume of 108 cubic feet. Its end is a triangle: base 6 ft, height 4 ft. It is very cozy. How long is the prism in feet?
Sketch, not to scale, no grid. A triangular prism: the end is a triangle with base 6 ft and height 4 ft; the length is marked ?. Volume 108 cubic feet. Sketch, not to scale, no grid. A triangular prism: the end is a triangle with base 6 ft and height 4 ft; the length is marked ?. Volume 108 cubic feet. 6 ft ? 4 ft Volume 108 cubic feet Not to scale Kira's pyramid tent has a volume of 24 cubic feet and a base of 6 ft by 4 ft. It sleeps three. How tall is it in feet?
Sketch, not to scale, no grid. A pyramid whose base is 6 ft by 4 ft; the height is marked ?. Volume 24 cubic feet. Sketch, not to scale, no grid. A pyramid whose base is 6 ft by 4 ft; the height is marked ?. Volume 24 cubic feet. ? 6 ft 4 ft Volume 24 cubic feet Not to scale Pia's pyramid tent has a triangle for a base: base 8 cm, height 3 cm. It is 9 cm tall. Snacks await. What is its volume in cubic cm?
Sketch, not to scale. A pyramid whose base is a triangle with base 8 cm and height 3 cm. The pyramid is 9 cm tall, straight up to the tip. Sketch, not to scale. A pyramid whose base is a triangle with base 8 cm and height 3 cm. The pyramid is 9 cm tall, straight up to the tip. 9 cm base 8 cm base height 3 cm The pyramid base is a triangle. Not to scale. Ren's model house is a box 10 cm long, 6 wide and 5 tall. Its triangle roof is 4 cm high. The windows are painted on. What is its total volume in cubic cm?
Sketch, not to scale. A box 10 cm long, 6 cm wide and 5 cm tall, with a triangular prism roof on top that is as long as the box. The roof's end is a triangle with base 6 cm, height 4 cm and slanted sides 5 cm. Sketch, not to scale. A box 10 cm long, 6 cm wide and 5 cm tall, with a triangular prism roof on top that is as long as the box. The roof's end is a triangle with base 6 cm, height 4 cm and slanted sides 5 cm. 5 cm 10 cm 6 cm height 4 cm 10 cm base 6 cm Not to scale. Tala's doghouse is a box 4 ft long, 3 wide and 2.5 tall. Its triangle roof is 2 ft high. It has a bone sign. What is its total volume in cubic feet?
Sketch, not to scale. A box 4 ft long, 3 ft wide and 2.5 ft tall, with a triangular prism roof on top that is as long as the box. The roof's end is a triangle with base 3 ft, height 2 ft and slanted sides 2.5 ft. Sketch, not to scale. A box 4 ft long, 3 ft wide and 2.5 ft tall, with a triangular prism roof on top that is as long as the box. The roof's end is a triangle with base 3 ft, height 2 ft and slanted sides 2.5 ft. 2.5 ft 4 ft 3 ft 2 ft 4 ft 3 ft Roof end: base 3 ft, height 2 ft, slanted sides 2.5 ft. Not to scale. Zee's playhouse is a box 8 ft long, 6 wide and 6 tall. Its triangle roof is 4 ft high. The door is just the right size. What is its total volume in cubic feet?
Sketch, not to scale. A box 8 ft long, 6 ft wide and 6 ft tall, with a triangular prism roof on top that is as long as the box. The roof's end is a triangle with base 6 ft, height 4 ft and slanted sides 5 ft. Sketch, not to scale. A box 8 ft long, 6 ft wide and 6 ft tall, with a triangular prism roof on top that is as long as the box. The roof's end is a triangle with base 6 ft, height 4 ft and slanted sides 5 ft. Sketch 6 ft 8 ft 6 ft 4 ft 8 ft 6 ft Not to scale. Bo's play tent is a box 6 ft by 6 ft by 3 ft with a pyramid roof 4 ft high. The roof comes to a point. What is its total volume in cubic feet?
Sketch, not to scale. A box 6 ft by 6 ft by 3 ft tall with a square pyramid roof on top. The roof is 4 ft high; each roof face is 5 ft high, measured along the face from the middle of a base edge to the tip. Sketch, not to scale. A box 6 ft by 6 ft by 3 ft tall with a square pyramid roof on top. The roof is 4 ft high; each roof face is 5 ft high, measured along the face from the middle of a base edge to the tip. Sketch 3 ft 6 ft 6 ft box 4 ft 5 ft square pyramid roof each roof face is 5 ft high, measured along the face from the middle of a base edge to the tip. Not to scale. Esme's model house is a box 12 cm by 12 cm by 9 cm with a pyramid roof 8 cm high. A chimney peeks out. What is its total volume in cubic cm?
Sketch, not to scale. A box 12 cm by 12 cm by 9 cm tall with a square pyramid roof on top. The roof is 8 cm high; each roof face is 10 cm high, measured along the face from the middle of a base edge to the tip. Sketch, not to scale. A box 12 cm by 12 cm by 9 cm tall with a square pyramid roof on top. The roof is 8 cm high; each roof face is 10 cm high, measured along the face from the middle of a base edge to the tip. 9 cm 12 cm 12 cm 8 cm 10 cm Not to scale. Luz's lunch box holds 64 cubic inches. Luz makes its width 1/4 as long. It holds one cracker. What is its new volume in cubic inches?
Sketch, not to scale. A box that holds 64 cubic inches. Its width becomes 1/4 as long as before; the other two edges stay the same. Sketch, not to scale. A box that holds 64 cubic inches. Its width becomes 1/4 as long as before; the other two edges stay the same. Sketch (not to scale) width becomes 1/4 as long as before A box that holds 64 cubic inches. Its width becomes 1/4 as long as before; the other two edges stay the same.