Question

A square brass plate of side x cm is 1mm thick and weighs 4725g. If one cc of brass weighs 8.4g,find the value of 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.

Answer 2

Answer:

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 x 0.1 cm

Given that 1 cu cm of brass has weight

8.4 g

So, total weight 8.4 x x x 0.1

0.84x2 gram

The weight of the plate 4725 grams

(Given)

0.84x24725

x2 4725/0.84

x2 5625

XV5625

x 75 cm

So the value of x is 75 cm.