Lateral and total surface area of pyramids, cones and spheres

Answer Key - Grade 10 Math Worksheet

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

1. 1.

   Ari's pyramid tent is a square pyramid: base 12 feet on a side, height 8 feet straight up. What is its total surface area, base included, in square feet?

   384
2. 2.

   Bo's model pyramid is a square pyramid: base 14 cm on a side, height 24 cm straight up. What is its total surface area, base included, in square cm?

   896
3. 3.

   Esme's castle roof is a square pyramid: base 16 inches on a side, height 15 inches straight up. What is its total surface area, base included, in square inches?

   800
4. 4.

   Jun's sand pyramid model is a square pyramid: base 18 cm on a side, height 12 cm straight up. What is its total surface area, base included, in square cm?

   864
5. 5.

   Kira paints a solid clay ice cream cone, base and all. Radius 5 cm, height 12 cm. What is its total surface area in square cm, in terms of π (like 14π)?

   90π
6. 6.

   Luz paints a solid model volcano, base and all. Radius 6 inches, height 8 inches. What is its total surface area in square inches, in terms of π (like 14π)?

   96π
7. 7.

   Milo paints a solid castle roof, base and all. Radius 8 cm, height 15 cm. What is its total surface area in square cm, in terms of π (like 14π)?

   200π
8. 8.

   Noah paints a solid rocket's nose cone, base and all. Radius 9 cm, height 12 cm. What is its total surface area in square cm, in terms of π (like 14π)?

   216π
9. 9.

   Ren wraps half of a small watermelon, a half-ball with radius 5 inches, flat side too. Using π = 3.14, what is its total surface area in square inches?

   235.5
10. 10.

    Zee wraps a solid model igloo, a half-ball with radius 3 cm, flat side too. Using π = 3.14, what is its total surface area in square cm?

    84.78