If total surface area of a cube is 384 c

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

If total surface area of a cube is 384 cm², then what is the volume of cube?

Options:

512 cm³

1728 cm³

729 cm³

1331 cm³

Correct Answer:

512 cm³

Explanation:

We know that,

The total surface area of a cube = 6a²

The volume of a cube = a³

We have,

The total surface area of a cube = 384 cm².

According to the question,

6a² = 384

= a² = 64

= a = 8 cm

The volume of the cube = (8)³ = 512 cm³