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SHS Core Mathematics · Year 2

Surface Areas and Volumes practice questions

Finding the surface area and volume of prisms, pyramids, cylinders, cones and spheres, and solving real-world measurement problems involving them.

29 questions in this topic: 9 recall, 8 applying skills and concepts, 7 strategic thinking and 5 extended thinking. Every one carries a written explanation.

Sample questions

5 of 29 questions in this topic. Sign up to answer them and see the explanations.

  1. Question 1Recall

    Surface area is best defined as

    • athe total area of the outer surface of a 3-D object, measured in square units
    • bthe amount of space a 3-D object occupies, measured in cubic units
    • cthe length around the base of a solid
    • dthe maximum amount of liquid a container can hold
  2. Question 2Skills & concepts

    Converting 8 ft² to square inches gives

    • a1,152 in²
    • b96 in²
    • c144 in²
    • d64 in²
  3. Question 3Extended thinking

    A water reservoir is a frustum of a cone with bottom diameter 10 m, top diameter 6 m and height 8 m. Using V = ⅓πH(r² + rr¹ + r¹²) with r = 5 and r¹ = 3, the bracket (r² + rr¹ + r¹²) evaluates to

    • a49
    • b34
    • c64
    • d15
  4. Question 4Recall

    A cuboid has 6 faces, 8 vertices and

    • a12 edges
    • b6 edges
    • c8 edges
    • d4 edges
  5. Question 5Skills & concepts

    To convert square feet to square inches, you multiply by 144 because

    • a1 foot = 12 inches, so 1 ft² = 12 × 12 = 144 in²
    • b1 foot = 144 inches
    • c1 inch = 144 feet
    • dthere are 144 feet in a yard

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