Question
CBSEENMA9003492

A cubical box has each edge of length 10 cm and another cuboidal box is 12.5 cm long, 10 cm wide and 8 cm high. Find the volume of the box which has greater lateral surface area.  




Solution

Lateral surface area of cubical box = 4a2 = 4(10)2 = 400 cm2Lateral surface area of the cuboidal box = 2(l + b)h = 2(12.5 + 10)8 = 360 cm2
Clearly, the cubical box has greater lateral surface area.
∴ Volume of the cubical box = a3
= 103
= 1000 cm3

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