The areas of the three adjacent faces of a cuboid are 32 cm2, 24 cm2 and 48 cm2. What is the volume of the cuboid?
Show answer & explanation
Correct answer: D
Explanation
Correct answer is option 4 i.e. 192 cm3
Surface areas of 3 adjacent surfaces of a cuboid = lb, bh, hl
Volume = lbh
Hence,
Volume = √(Multiplication of SA of 3 adjacent surfaces) = √(lbh)
Given:
lb = 32, bh = 24, hl = 48
Volume = √(lbh)
= √(32 × 24 × 48)
= √(16 × 2 × 2 × 4 × 3 × 3 × 16)
= 4 × 2 × 2 × 3 × 4
= 192 cm3