Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

Two cubes, each having a total surface area of 150 cm2, are joined together to form a cuboid. Find the total surface area of the resulting cuboid.

Options:

300 cm2

225 cm2

250 cm2

275 cm2

Correct Answer:

250 cm2

Explanation:

We know that,

Total Surface Area of cube = 6 × side2

Total Surface Area of cuboid = 2 × (lb + bh + hl)

We have,

Surface area of each cube = 150 cm2

Total Surface Area of cube = 6 × side2 = 150

side = 5 cm

Length = l = 5 + 5 = 10

Breadth = b = 5 cm

Height = h = 5 cm

Total Surface Area of cuboid = 2 × (10 × 5 + 5 × 5 + 5 × 10)  = 250 cm2