Lateral and total surface area of pyramids, cones and spheres

Grade 10 Math Worksheet - Building Confidence

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

  1. 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?

  2. 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?

  3. 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?

  4. 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?

  5. 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)?

  6. 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)?

  7. Pia's toy ball is 4 cm across. What is its surface area in square cm, in terms of π (like 14π)?

  8. Ren's orange is 10 cm across. What is its surface area in square cm, in terms of π (like 14π)?

  9. Tala's round balloon is 14 inches across. What is its surface area in square inches, in terms of π (like 14π)?

  10. Zee's basketball is 18 cm across. What is its surface area in square cm, in terms of π (like 14π)?

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Lateral and total surface area of pyramids, cones and spheres

Answer Key - Grade 10 Math Worksheet - Building Confidence

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

  1. 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?

    60
  2. 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?

    112
  3. 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?

    240
  4. 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?

    72
  5. 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)?

    36π
  6. 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)?

    66π
  7. Pia's toy ball is 4 cm across. What is its surface area in square cm, in terms of π (like 14π)?

    16π
  8. Ren's orange is 10 cm across. What is its surface area in square cm, in terms of π (like 14π)?

    100π
  9. Tala's round balloon is 14 inches across. What is its surface area in square inches, in terms of π (like 14π)?

    196π
  10. Zee's basketball is 18 cm across. What is its surface area in square cm, in terms of π (like 14π)?

    324π