Question:
The surface area of the three coterminous faces of a cuboid are 6, 15 and 10 cm2 respectively. The volume of the cuboid is
(a) 30 cm3
(b) 40 cm3
(c) 20 cm3
(d) 35 cm3
Solution:
The correct answer is option (a) 30 cm3
Explanation:
It is given that, the coterminous faces of a cuboid is given as:
l × b = 6
l × h = 15
b × h = 10
The formula for volume of a cuboid is l × b × h
l2 × b2 × h2 = 6 × 15 × 10
√ (lbh) = √ (900) = 30