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Grade 7 Math — Mensuration

Find areas of trapeziums and circles, and volumes and surface areas of cuboids and cylinders.

Name: ________________________

  1. 1.A trapezium has parallel sides of 10 inches and 6 inches, and a height of 4 inches. What is its area, in square inches?

  2. 2.A cylinder has a radius of 7 inches and a height of 10 inches. Take π = 22/7. What is its total surface area, in square inches?

  3. 3.A cylinder has a radius of 7 inches and a height of 10 inches. Take π = 22/7. What is its curved surface area, in square inches?

  4. 4.A circle has a radius of 14 inches. Take π = 22/7. What is its circumference, in inches?

  5. 5.Sort each formula by what it measures.

    Groups: Measures area · Measures volume

    • π × r × r
    • π × r × r × h
    • length × width × height
    • 2 × π × r × h
    • length × width
    • edge × edge × edge

  6. 6.A cuboid is 12 inches long, 8 inches wide and 5 inches tall. What is its volume, in cubic inches?

  7. 7.A circle has a radius of 14 inches. Take π = 22/7. What is its area, in square inches?

  8. 8.A cube has edges of 5 inches. What is its volume, in cubic inches?

Answer key — Grade 7 Math — Mensuration

  1. 1. 32
  2. 2. 748
  3. 3. 440
  4. 4. 88
  5. 5. π × r × r → Measures area; length × width → Measures area; 2 × π × r × h → Measures area; length × width × height → Measures volume; π × r × r × h → Measures volume; edge × edge × edge → Measures volume
  6. 6. 480
  7. 7. 616
  8. 8. 125