What is the edge of a cube whose volume

CUET Preparation Today

Start Free Mocks

Home Questions VXV7PVS3QT

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

What is the edge of a cube whose volume is equal to the sum of the volumes of the cubes of edge 6 cm, 8 cm and 10 cm?

Options:

5 cm

3 cm

6 cm

12 cm

Correct Answer:

12 cm

Explanation:

Let the edge of new cube = s cm.

Volume of the new cube = Sum of the volumes of all the three smaller cubes

= s³ = 6³ + 8³ + 10³

= s³ = 216 + 512 + 1000

= s³ = 1728

= s³ = 12³

= s = 12 cm