College of Admission Tests Multan

Three Dimensional Figures

Solve the question of and select the option from the choices A through D/E. Check your Answer and view the explanation.

Question: 1

The volume of a cube is x and its surface area is x. What is the length of an edge of the cube?
  • 6
  • 10
  • 18
  • 36
  • 48

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Correct Answer: A

Let e be the length of an edge of the cube. Recall that the volume of a cube is e3 and its surface area is 6e2. Since we are given that both the volume and the surface area are x, these expressions are equal:

001square01h -35903268

We reject e = 0 since in that case no cube would exist. Hence, e = 6 and the answer is (A).