Question

The length and breadth of a rectangular sheet are 10±0.1 cm and 20±0.4cm, respectively. The area of the sheet in appropriate significant figures and error is

Answer 1

Explanation:

Answer- A=8.72 m^2 and V=0.0855 m^3.

# 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.