Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Application of Integrals

Question:

The volume of a cube is numerically equal to its surface area. What is the length of its side?

Options:

6 units

8 units

9 units

10 units

Correct Answer:

6 units

Explanation:

Volume of a cube = l3cu. units surface area of a cube 6l2sq. units,where ‘l’ is the length of each side of a cube.

Given that the volume of a cube is numerically equal to its surface area ⇒ l3cu. units = 6l2sq. units

$⇒\frac{l^3}{l^2}=6$ ⇒ l = 6 units

The length of each side of the cube = 6 u nits.