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MCQ Geometry - Three Dimensional Figures

The CAT Online Free Test Prep MCQs Geometry - Three Dimensional Figures

Geometry: Three Dimensional Figures

Question:

The volume of a cube is x and its surface area is x. What is the length of an edge of the cube?
Option A:      6
Option B:      10
Option C:      18
Option D:      36
Option E:      48
  A     B     C     D     E  
Show/Hide Answer and Explanation

Correct Answer: A

Explanation Video

Explanation

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).

How to Solve Three Dimensional Figures

For Three Dimensional Figures question first understand the statement and the question stem. Try to solve and click the corresponding answer option. The drop down will appear to show the correct answer and explanation.