﻿ The length, breadth and thickness of a rectangular sheet of metal are 4.234 m, 1.005 m, and 2.01 cm respectively. Give the area and volume of the sheet to correct significant figures. from Physics Units and Measurement Class 11 Manipur Board

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The length, breadth and thickness of a rectangular sheet of metal are 4.234 m, 1.005 m, and 2.01 cm respectively. Give the area and volume of the sheet to correct significant figures.

Given,

Length, l = 4.234 m

Breadth,b = 1.005 m

Thickness, t = 2.01 cm = 2.01 × 10-2 m

Area of the sheet = 2 (l × 0 + b × t + t × l)

= 2 (4.234 × 1.005 + 1.005 × 0.0201 + 0.0201 × 4.234)

= 2 (4.3604739)

= 8.7209478 m2

Area can contain a maximum of three significant digits, therefore, rounding off, we get

Area = 8.72 m2

Also, volume = l × b × t

V = 4.234 × 1.005 × 0.0201

= 0.0855289

= 0.0855 m3 (Significant Figures = 3)

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