The areas of three adjacent faces of a cuboidal solid block of wax are 216 cm2, 96 cm2 and 144 cm2. It is melted and 8 cubes of the same size are formed from it. What is the lateral surface area (in cm2) of 3 such cubes?
A. 576
B. 288
C. 432
D. 648
Answer: Option C
Solution(By Examveda Team)
Areas of three adjacent faces of a cuboidal solid blockL × B = 216
B × H = 96
H × L = 144
Multiply all
(LBH)2 = 216 × 96 × 144
LBH = 36 × 4 × 12
LBH = 1728
LBH = 8 × a3
1728 = 8 × a3
a3 = 216
a = 6
Lateral surface area of 3 such cubes
= 3 × 4a2
= 12 × 6 × 6
= 432 cm2
This Question Belongs to Arithmetic Ability >> Mensuration 3D
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