Mensuration Practice Test 9

Question : 26 of 40

Marks: +1, -0

A godown is 15 m long and 12 m broad. The sum of the areas of the floor and the ceiling is equal to the area of the four walls. The volume (in

m^3

) of the godown is:

Solution:

Area of roof and ceiling = 2 (l × b)
= 2 (15 × 12)
= 360

m^2

Area of four walls = area of floor and ceiling
Area of four walls = 360 m2
Curved surface area ⇒ 2 (lh + bh) = 360

m^2

⇒ 2 (15h + 12h) = 360
54 h = 360
h =

{360}/{54}

= 6.66 m
Volume of Godown = L × b × h
= 15 × 12 × 6.6
= 1,199.9 approx.
= 1,200

m^3

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