Q. 114.1( 57 Votes )

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.

Answer :

Given:

Length (l) = 4.234 m


Breadth (b) = 1.005 m


Thickness (t) = 2.01 cm = 0.0201 m (note that significant figures remains unchanged)


Formulae:


Total surface area of rectangular sheet (S) = 2 (lb + bt + tl)


Volume of rectangular sheet (V) = l × b × h


Calculation:


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


S = 8.72 m2 (reported upto 3 significant figures as in multiplication, lowest number of significant figures in all the numbers is chosen for final answer)


V = 4.234 × 1.005× 0.0201


V = 0.0855 m3 (reported upto 3 significant figures as in multiplication, lowest number of significant figures in all the numbers is chosen for final answer)


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