Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

The total surface area of a cube is 864 cm2. What is its volume (in cm3)?

Options:

216

1728

729

512

Correct Answer:

1728

Explanation:

We know that,

Total surface area of cube = 6a2

We know that,

Total surface area of cube = 864

6a2 = 864

= a2 = \(\frac{864}{6}\) = 144

= a = \(\sqrt {144}\) = 12

Volume of cube = 12 × 12 × 12 = 1728