Question

The length, breadth and weight of a brass plate with squared base are x cm, 1 mm and 4725 gm respectively, if the weight of 1 cubic dcm of brass is 8.4 gm, then let us write by calculating the value of x

January 1, 2024

Answer

Length of the square plate = x cm.

Breadth of the square plate = x cm

Height of the square plate = 1 mm = 0.1 cm.

Volume of the square plate = 0.1 x² cu. cm

Wt. of 1 cu.cm brass plate = 8.4 gm.

Wt. of 0.1 x² cu.cm brass plate = 0.1 x² × 8.4 gm.

According to the problem, 0.1 x² × 8.4 = 4725

∴ x²= $\frac{4725}{0.1 × 8.4}$ = 225 × 25

∴ x = $\sqrt{225 × 25}$ = 15 × 5 = 75 cm .

∴ Value of x = 75 cm

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