The lateral surface area of a cuboid is 224 cm2. Its height is 7 cm and the base is a square. Find
(i) side of the square base
(ii) the volume of the cuboid.
Given,
Lateral surface area of a cuboid is 224 cm2
Height (h) = 7 cm
(i) 2(l + b) × h = 224
⇒ 2(l + b) × 7 = 224
l + b = 224/14 = 16 cm
But l = b [[Since, the base of cuboid is a square]]
So, 2 × side = 16 cm
⇒ Side = 16/2 = 8 cm
(ii) Volume of cuboid = lbh = 8 × 8 × 7 cm3 = 448 cm3
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