Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

The side of a cube is 15 cm. What is the base area of a cuboid whose volume is 175 cm3 less than that of the cube and whose height is 32 cm?

Options:

200 cm2

100 cm2

160 cm2

325 cm2

Correct Answer:

100 cm2

Explanation:

Volume of a cube = side3 = 153 = 3375 cm3

Volume of a cuboid = Volume of a cube – 175

Area of base × h = 3375 – 175

Area of base = \(\frac{3200}{32}\) = 100 cm2