Surface Area and Volume — O/L Mathematics

How do I practise Surface Area and Volume?

1 question with a worked solution

1. A solid metal cuboid of dimensions 10 cm × 8 cm × 5 cm is melted and recast into small cubes of edge 2 cm. How many small cubes can be formed without any loss of metal?
   1. A) 25
   2. B) 40
   3. C) 100
   4. D) 50
   Check my answer

   Correct answer: D) 50

   Volume of cuboid = 10 × 8 × 5 = 400 cm³. Volume of one small cube = 2³ = 8 cm³. Number of small cubes = 400 / 8 = 50 cubes.

   Show worked solution

   Step 1: Calculate volume of cuboid: V₁ = l × w × h = 10 × 8 × 5 = 400 cm³. Step 2: Calculate volume of small cube: V₂ = a³ = 2³ = 8 cm³. Step 3: Number of cubes = V₁ / V₂ = 400 / 8 = 50. Answer: 50.
   Modelled on: the O/L Mathematics examination pattern

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Where does Surface Area and Volume fit in the syllabus?

Grade 10 · Term 3