1.

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.

Answer»

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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