Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

Two cubes each of volume $125 cm^3$ are joined end to end. The surface area of the resulting solid is

Options:

$160 cm^2$

$250 cm^2$

$240 cm^2$

$150 cm^2$

Correct Answer:

$250 cm^2$

Explanation:

Volume of cube = (side)³

(side)³ = 125

(side)³ = (5)³

side = 5 cm

Total length of side of new cube = 5 + 5 = 10 cm

breadth = 5

height = 5

Surface area of resulting cuboid = 2 ( lh + bh + hl )

= 2 ( 10 × 5 + 5 × 5 + 5 × 10 )

= 2 ( 50 + 25 + 50 )

= 2 ( 125 )

= 250

The correct answer is Option (2) → $250 cm^2$