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ML Aggarwal Solutions Class 8 Mathematics Solutions for Mensuration Exercise 18.4 in Chapter 18 - Mensuration

Question 32 Mensuration Exercise 18.4

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.

Answer:

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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