Doubt by komal bhushan

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

how to solve this question

Answers

Answer by Shreya

 Given-l = 4.234 m ...(4 significant figures)
b = 1.005 m ...(4 significant figures)
h = 2.01 cm = 0.0201 m ...(3 significant figures)
# Solution-
Area and volume both must have least significant figures i.e. 3.
Surface area of the sheet = 2 (l×b + b×h + h×l)= 2 (4.234×1.005 + 1.005×0.0201 + 0.0201×4.234)= 2 (4.25517 + 0.02620 + 0.08510)= 2×4.360= 8.7209478= 8.72 m^2 (3 significant figures)
Volume of the sheet
= l×b×h
= 4.234×1.005×0.0201
= 0.085528917
= 0.0855 m^3 (3 significant figures)

Hence, our answer is A=8.72 m^2 and V=0.0855 m^3.