Question

A square brass plate of size x cm is 1mm thick and weighs 4725g. If 1cc of brass weighs 8.4 g find x

Answer 1

Solution:-
Thickness of brass plate = 1 mm or 0.1 cm
As the plate is in square shape, so the length and breath are same.
Length = x cm, breadth = x cm. and thickness = 0.1 cm
Volume = x² × 0.1 cm³
Given that 1 cu cm of brass has weight = 8.4 g
So, total weight = 8.4 × x² × 0.1
= 0.84x² gram
The weight of the plate = 4725 grams (Given)
⇒ 0.84x² = 4725
x² = 4725/0.84
x² = 5625
x = √5625
x = 75 cm
So the value of x is 75 cm.
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Answer 2

Hope it helps...!!!!

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=>Thickness of brass plate = 1 mm or 0.1 cm

=>As the plate is in square shape, so the length and breath are same.

=>Length = x cm

=> Breadth = x cm

=> Thickness = 0.1 cm

=> Volume = x² × 0.1 cm³

Given that 1 cu cm of brass has weight = 8.4 g

So,

Total weight = 8.4 × x² × 0.1
= 0.84x² gram

The weight of the plate = 4725 grams (Given)
⇒ 0.84x² = 4725
x² = 4725/0.84
x² = 5625
x = √5625
x = 75 cm

So the value of x is 75 cm.

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