If the edges of a cuboid are in the rati

CUET Preparation Today

Start Free Mocks

Home Questions GBBKCGWHQG

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

If the edges of a cuboid are in the ratio 4 : 3 : 2 and its surface area is 208 cm². The volume of the cuboid is -

Options:

256 cm³

484 cm³

676 cm³

192 cm³

Correct Answer:

192 cm³

Explanation:

Edges of cuboid = l, b, h = 4x, 3x, 2x,

Surface area = 2(lb + bh + lh) = 2 (12x² + 6x²+ 8x²)

⇒ 208 = 2 × 26 x²

⇒ x= 2

Edges = 4 × 2, 3 × 2, 2 × 2 = 8 cm, 6 cm, 4 cm

So, Volume = lbh = 8 × 6 × 4 = 192 cm³