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WAEC Mathematics 2026 Question 15

Question 15

Mensuration of Solids

A right rectangular prism has a height 9 cm. The length of the base is x cm and it is 7 cm more than the width of the base. Write a function of the volume (V) of the prism in terms of the length of the base.

  1. A.V(x) = 9x(x − 7)
  2. B.V(x) = x(x + 9)(x − 7)
  3. C.V(x) = 9x(x + 7)
  4. D.V(x) = x(x + 9)(x + 7)
Show the answer and explanation

Answer: A (V(x) = 9x(x − 7))

Explanation

The width is x − 7, so V = length × width × height = 9x(x − 7).