The whole surface of a rectangular solid is 448 square cm. The length of a solid is twice it’s breath and height is half it’s breath. Find the volume of the solid.
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Step-by-step explanation:
Let the breadth of the rectangle be x cm
According to the question,
Length =2x cm
Height =x/2 cm
Given,
Area=448
l*b=448
2x*x=448
2x^2=448
x^2=448/2
x^2=224
x=√224
x=2√14
Therefore, Breadth =2√14 cm
Length =2*2√14=4√14 cm
Height =2√14/2=√14 cm
Volume = l*b*h
=4√14*2√14*√14
=8*14*√14
=419.07 cm^3
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