Question 64

An iron cube of size 10 cm is hammered into a rectangular sheet of thickness 0.5 cm. If the sides of the sheet be in the ratio 1 : 5, then the sides are

Solution

Let one side be k and other be 5k of the rectangular sheet.

Since cube [ of side a] is hammered into sheet, their volume remains same.

a^3 = Area*thickness

a^3 = length*breadth*thickness

10^3 = k*5k*0.5

k^2 = 400

k = 20 cm

One side is 20 cm and other is 100 cm.

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