Square-based pyramids: volume and surface area

Answer Key - Grade 8 Math Worksheet

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

1. 1.

   Pia's model pyramid has base edges of 9 cm, a height of 6 cm and a slant height of 7.5 cm. What is its volume, in cubic cm? Do not round.

   162
2. 2.

   Ren's castle tower roof model has base edges of 15 cm, a height of 10 cm and a slant height of 12.5 cm. What is its volume, in cubic cm? Do not round.

   750
3. 3.

   Tala's big paper pyramid has base edges of 21 cm, a height of 14 cm and a slant height of 17.5 cm. What is its volume, in cubic cm? Do not round.

   2058
4. 4.

   Zee's pyramid sculpture has base edges of 7.2 meters, a height of 4.8 meters and a slant height of 6 meters. What is its volume, in cubic meters? Do not round.

   82.944
5. 5.

   Ari's pyramid model has base edges of 7 cm, a slant height of 12.5 cm and a height of 12 cm. What is its surface area, in square cm?

   224
6. 6.

   Bo's castle roof has base edges of 8 inches, a slant height of 8.5 inches and a height of 7.5 inches. What is its surface area, in square inches?

   200
7. 7.

   Esme's paper pyramid has base edges of 20 cm, a slant height of 14.5 cm and a height of 10.5 cm. What is its surface area, in square cm?

   980
9. 8.

   Kira wants the volume of a square pyramid model. Which length goes with the base area to find it?

   • The slant height, from the tip down the middle of a face of the pyramid
   • The edge from the tip down to a corner of the base
   • The height, straight down from the tip to the middle of the base
10. 9.

    Milo wants to know how much sand fills a castle roof shaped like a square pyramid. Which length goes with the base area?

    Use the picture in question 8.

    • The slant height, from the tip down the middle of a face
    • The edge from the tip down to a corner of the base
    • The height, straight down from the tip to the middle of the base
11. 10.

    Noah is painting the faces of a square pyramid model. Which length is the height of each triangle face?

    Use the picture in question 8.

    • The edge from the tip down to a corner of the base
    • The height, straight down from the tip to the middle of the base
    • The slant height, from the tip down the middle of a face