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Lateral surface area of cubical box = 4a 2 = 4(10) 2 = 400 cm 2 Lateral surface area of the cuboidal box = 2(l + b)h = 2(12.5 + 10)8 = 360 cm 2 Clearly, the cubical box has greater lateral surface area. ∴ Volume of the cubical box = a 3 = 10 3 = 1000 cm 3

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Surface Areas and Volumes

Short Answer Type

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127.
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.

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 cm²Clearly, the cubical box has greater lateral surface area.
∴ Volume of the cubical box = a³= 10³= 1000 cm³

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Short Answer Type

127. 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.

127.
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.