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?
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)?
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)?
Sketch, not to scale: the cone with the radius 6 cm from the middle of the base to its edge and the slant height 11 cm along the side. Sketch, not to scale: the cone with the radius 6 cm from the middle of the base to its edge and the slant height 11 cm along the side. 6 cm 11 cm Not to scale Pia's toy ball is 4 cm across. What is its surface area in square cm, in terms of π (like 14π)?
Sketch, not to scale: the toy ball with the distance 4 cm marked across its middle. Sketch, not to scale: the toy ball with the distance 4 cm marked across its middle. 4 cm Not to scale Ren's orange is 10 cm across. What is its surface area in square cm, in terms of π (like 14π)?
Sketch, not to scale: the orange with the distance 10 cm marked across its middle. Sketch, not to scale: the orange with the distance 10 cm marked across its middle. orange 10 cm Not to scale. Tala's round balloon is 14 inches across. What is its surface area in square inches, in terms of π (like 14π)?
Sketch, not to scale: the round balloon with the distance 14 inches marked across its middle. Sketch, not to scale: the round balloon with the distance 14 inches marked across its middle. Sketch, not to scale 14 inches balloon Zee's basketball is 18 cm across. What is its surface area in square cm, in terms of π (like 14π)?
Sketch, not to scale: the basketball with the distance 18 cm marked across its middle. Sketch, not to scale: the basketball with the distance 18 cm marked across its middle. 18 cm basketball Not to scale.