Lateral and total surface area of pyramids, cones and spheres
Grade 10 Math Worksheet - Building Confidence
Circle the best answer, or write your answer on the line.
a square base 6 cm by 6 cm with four triangles folded out, each with slant height 5 cm. Ari covers the sides of a paper pyramid: base 6 cm on a side, slant height 5 cm. What is its lateral area (side faces only), in square cm?
a square base 8 feet by 8 feet with four triangles folded out, each with slant height 7 feet. Bo covers the sides of a pyramid tent: base 8 feet on a side, slant height 7 feet. What is its lateral area (side faces only), in square feet?
a square base 10 inches by 10 inches with four triangles folded out, each with slant height 12 inches. Esme covers the sides of a castle roof: base 10 inches on a side, slant height 12 inches. It is a square pyramid. What is its lateral area (side faces only), in square inches?
a square base 4 inches by 4 inches with four triangles folded out, each with slant height 9 inches. Jun covers the sides of a pyramid gift box: base 4 inches on a side, slant height 9 inches. What is its lateral area (side faces only), in square inches?
Kira's paper ice cream cone has radius 3 cm and slant height 7 cm. What is its lateral area (the curved side only) in square cm, in terms of π (like 14π)?
Luz's model volcano has radius 4 inches and slant height 9 inches. What is its lateral area (the curved side only) in square inches, in terms of π (like 14π)?
Milo's castle tower's cone roof has radius 5 cm and slant height 8 cm. What is its lateral area (the curved side only) in square cm, in terms of π (like 14π)?
Noah's rocket's nose cone has radius 6 cm and slant height 11 cm. What is its lateral area (the curved side only) in square cm, in terms of π (like 14π)?
Pia's toy ball is 4 cm across. What is its surface area in square cm, in terms of π (like 14π)?
Tala's round balloon is 14 inches across. What is its surface area in square inches, in terms of π (like 14π)?