Q.


Find the lateral surface area and the total surface area of a cuboid which is 8 m long, 5 m broad, and 3.5 m high.

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a

91 sq. cm.  and 171 sq.cm

b

81 sq. cm.  and 181 sq.cm

c

95 sq. cm.  and 191 sq.cm

d

101 sq. cm.  and 161 sq.cm  

answer is A.

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Detailed Solution

For the given cuboid we have,
Length l= 8 m
Breadth b= 5 m
Height h= 3.5 cm
Lateral surface area of cuboid,
LSA=2h(l+b)
=2×3.58+5
=7×45.5
=91 m2
Total surface area of cuboid,
TSA=2(lb+bh+hl)
=2(8×5+5×3.5+3.5×8)=2(40+17.5+28)=2×85.5=171 m2
So, lateral surface area = 91 sq cm while total surface area 171 sq. cm. respectively.
 
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