The surface area of a cube is 864 cm2. T

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

The surface area of a cube is 864 cm². The volume of the cube is ______ .

Options:

1728 cm³

2197 cm³

1331 cm³

729 cm³

Correct Answer:

1728 cm³

Explanation:

We have,

Total surface area of cube = 864 cm²

Total surface area of the cube = 6(side)²

Volume of cube = side³

6(side )² = 864

side²= 144

side = 12

Volume of cube = 12³ = 1728 cm³