A cube of metal of 5cm edge is melted and casted into a cuboid whose base is 2.50cm × 0.50cm. Find the height of the cuboid. Also, find the surface areas of cube and cuboid.
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Answer:
Height of cuboid = 100 cm
TSA of cube = 150 sq. cm
TSA of cuboid = 602.5 sq.cm
Explanation:
Given: A cube of a metal of 5 cm edge is melted and casted into a cuboid whose base is 2·50 cm × 0·50 cm.
Volume of cube = volume of cuboid
a * a * a = l * b * h
5 * 5 * 5 = 2.5 * 0.5 * h
h = 5 * 5 * 5 / (2.5 * 0.5)
h = 100 cm
Surface area of cube = 6a*a = 6 * 5 * 5 = 150 sq. cm.
Surface area of cuboid = 2 (lb + bh + lh) = 2 (2.5*0.5 + 0.5*100 + 100*2.5)
= 2 (1.25 + 50 + 250)
= 2* 301.25
= 602.5 sq.cm
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