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Aptitude · Q39

Mensuration 3d

Competitive Exams · Aptitude · question 39

Q39

If a cuboid of dimensions 32 cm × 12 cm × 9 cm is cut into two cubes of same size, what will be the ratio of the surface area of the cuboid to the total surface area of the two cubes?

A.
32 : 39
B.
24 : 35
C.
37 : 48
D.
65 : 72
Answer

Answer: Option D

Solution

Answer: Option D
Solution:
Volume of cuboid = 32 × 12 × 9
Volume of a cube = 16 × 12 × 9
a3 = 16 × 12 × 9
a = 12
Area of cuboid : Area of two cube
= 2(32 × 12 + 12 × 9 + 9 × 32) : 2 × 6 × 122
= 65 : 72