Square-based pyramids: volume and surface area

Answer Key - Grade 8 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.

1. 1.

   Pia makes a pyramid paperweight, a square pyramid with base edges of 12 cm and a height of 4.5 cm. What is its surface area, in square cm?

   324
2. 2.

   Ren makes a pyramid sculpture, a square pyramid with base edges of 4.8 meters and a height of 1.8 meters. What is its surface area, in square meters?

   51.84
3. 3.

   Zee makes a paper pyramid lantern, a square pyramid with base edges of 24 inches and a height of 22.5 inches. What is its surface area, in square inches?

   1800
4. 4.

   Ari measures a tall model pyramid: base edges of 9 cm and a slant height of 20.5 cm. The height is not given. What is its volume, in cubic cm? Do not round.

   540
5. 5.

   Bo measures a wide paper pyramid: base edges of 36 cm and a slant height of 19.5 cm. The height is not given. What is its volume, in cubic cm? Do not round.

   3240
6. 6.

   Esme measures a pyramid sculpture: base edges of 4.2 meters and a slant height of 3.5 meters. The height is not given. What is its volume, in cubic meters? Do not round.

   16.464
7. 7.

   Jun measures a play castle's pyramid roof: base edges of 2.4 meters and a slant height of 2 meters. The height is not given. What is its volume, in cubic meters? Do not round.

   3.072
8. 8.

   Luz's castle roof model is a square pyramid with base edges of 7 inches, and it holds 245 cubic inches. What is its height, in inches?

   15
9. 9.

   Milo's paper pyramid is a square pyramid with base edges of 15 cm, and it holds 2700 cubic cm. What is its height, in cm?

   36
10. 10.

    Noah's pyramid sculpture is a square pyramid with base edges of 5 feet, and it holds 50 cubic feet. What is its height, in feet?

    6