Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

A cuboid of size 100 cm × 80 cm × 60 cm cut into eight identical parts by three cuts. What is the total surface area (in square cm.) of all the eight parts?

Options:

22500

84100

50750

75200

Correct Answer:

75200

Explanation:

We know that,

Total surface area of cuboid = 2(lb + bh + hl)

The cuboid is cut from the middle of each face to get 8 identical cuboids

Total surface area of each small cuboid = 2(50 × 40 + 40 × 30 + 30 × 50) = 2× 4700 = 9400

Total surface area of 8 small cuboids = 8 × 9400 = 75200