Surface area from a net: prisms and pyramids

Grade 7 Math Worksheet - Challenge Me

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

  1. Sketch, not to scale. Bo's recipe box has no lid. It is 7.5 cm long, 4 cm wide and 3 cm tall. It is a tidy box. How much paper covers its outside, in square cm?

  2. Esme's storage box is 8 cm long, 6 cm wide and 3 cm tall. A label wraps around the four sides only. The label is shiny. What is the label's area in square cm?

  3. Read this first

    Use this

    Sketch, not to scale. A pyramid whose base is a right triangle with legs 6 cm and 8 cm and long side 10 cm. The tip is 2 cm straight up from the right-angle corner. Its three side faces are triangles: base 6 and height 2; base 8 and height 2; base 10 and height 5.2 (along the face).

  4. Luz's pyramid tent is a triangular pyramid with a right-triangle base: legs 6 and 8 cm. The tip is 2 cm high. A flag waves. What is its surface area in square cm?

  5. Noah's castle tower roof is a triangular pyramid with a right-triangle base: legs 15 and 20 cm. The tip is 5 cm high. A tiny flag waves. What is its surface area in square cm?

  6. Ren paints the whole outside of a wooden block: 7 cm by 4 cm by 3 cm. It becomes bright blue. How much area does the paint cover, in square cm?

  7. Zee wants to know how much a storage box holds. It is 9 in by 5 in by 4 in. Plenty of room. What is its volume in cubic inches?

  8. Ari wants to know how much a gift box holds. It is 6 in by 5 in by 2.5 in. It is a big gift. What is its volume in cubic inches?

  9. Bo wants to know how much a lunch box holds. It is 8 in by 4 in by 6 in. It is very roomy. What is its volume in cubic inches?

  10. Esme's toy block is a cube with edges of 3 cm. Esme makes every edge 2 times as long. It is a bigger block now. What is its new surface area in square cm?

  11. Noah's lunch box is 6 cm long, 5 cm wide and 8 cm tall. Noah makes the height half as tall. Snacks squashed. What is its new surface area in square cm?

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Surface area from a net: prisms and pyramids

Answer Key - Grade 7 Math Worksheet - Challenge Me

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

  1. Sketch, not to scale. Bo's recipe box has no lid. It is 7.5 cm long, 4 cm wide and 3 cm tall. It is a tidy box. How much paper covers its outside, in square cm?

    99
  2. Esme's storage box is 8 cm long, 6 cm wide and 3 cm tall. A label wraps around the four sides only. The label is shiny. What is the label's area in square cm?

    84
  3. Read this first

    Use this

    Sketch, not to scale. A pyramid whose base is a right triangle with legs 6 cm and 8 cm and long side 10 cm. The tip is 2 cm straight up from the right-angle corner. Its three side faces are triangles: base 6 and height 2; base 8 and height 2; base 10 and height 5.2 (along the face).

  4. Luz's pyramid tent is a triangular pyramid with a right-triangle base: legs 6 and 8 cm. The tip is 2 cm high. A flag waves. What is its surface area in square cm?

    64
  5. Noah's castle tower roof is a triangular pyramid with a right-triangle base: legs 15 and 20 cm. The tip is 5 cm high. A tiny flag waves. What is its surface area in square cm?

    400
  6. Ren paints the whole outside of a wooden block: 7 cm by 4 cm by 3 cm. It becomes bright blue. How much area does the paint cover, in square cm?

    122
  7. Zee wants to know how much a storage box holds. It is 9 in by 5 in by 4 in. Plenty of room. What is its volume in cubic inches?

    180
  8. Ari wants to know how much a gift box holds. It is 6 in by 5 in by 2.5 in. It is a big gift. What is its volume in cubic inches?

    75
  9. Bo wants to know how much a lunch box holds. It is 8 in by 4 in by 6 in. It is very roomy. What is its volume in cubic inches?

    192
  10. Esme's toy block is a cube with edges of 3 cm. Esme makes every edge 2 times as long. It is a bigger block now. What is its new surface area in square cm?

    216
  11. Noah's lunch box is 6 cm long, 5 cm wide and 8 cm tall. Noah makes the height half as tall. Snacks squashed. What is its new surface area in square cm?

    148