Question

The length and bredth and thickness of a rectangular sheet of metal are 4.234m,1.005m,and 2.01cm respectively give the area and volume of the sheet to correct significant figures.
Answer=
area =length ×bredth
4.234×1.005
area= 4.255m
volume = l×b×t
4.234×1.005 ×2.10
=4.255×2.10
=8.56×10​

Answer 1

Answer :

area=lengthxbredth

4.234x1005

area=4.255

volume =lxbxt

4.234x1.005x2.10

=4.255x2.10

=8.56x10

Answer 2

Question:-

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

Explanation:-

Given:-

Length = 4.234 m

Breadth = 1.005 m

Height (thickness of sheet) = 2.01 cm = 0.0201 m

Solution:-

$Area \: = \: 2(lb \: + \: bh \: + hl) \\ = 2(4.234 \: \times1.005 \: + 1.005 \: \times 0.201 \: + \: 0.201\: \times \: 4.234) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \: 2(4.25517 + 0.0202005 + 0.08551034) \\ = (8.7209478) \\= 8.72 \: {m}^{2}$

Now,

$Volume \: = \: l \: \times \: b \: \times \: h \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 4.234 \: \times 1.005 \: \times \: 0.0201 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 0.0855 \: m ^{3}$

$Hence \: The \: area \: is \: 8.72 \: m ^{2} \: \: and \: \\ Volume \: is \: 0.0855 {m}^{3}$