Maths-
General
Easy
Question
Dimensions of the cuboid are in the ratio of 5 : 4: 2 and the whole surface area is 684 cm2, find the volume of the cuboid?
- 1080
- 2020
- 1000
- 1560
Hint:
Total Surface Area(TSA) of cuboid = 2[ lb + bh + hl ]
Volume of a cuboid = l × b × h [cubic units]
Where,
l = length
b = breadth
h = height
The correct answer is: 1080
We are given that
Length, breadth and height of a cuboid are in the ratio 5:4:2 and the total surface area is 684 cm2,
Let, the dimension of cuboid are
l = 5x,
b = 4x
and h = 2x
Now,
Surface area of cuboid = 2((5x 
4x) + (4x2x) + (2x5x))
= 2((20x2)+(8x2)+(10x2))
= 2(38 x2)
= 76x2
Surface area of cuboid = 684
76x2 = 684
x2 = 9
Now,
x = 3
Dimensions of cuboid are,
l = 5x = 53 =15cm,
b = 4x = 43 = 12cm
h = 2x = 23 = 6cm
Volume of cuboid = l b h
= 15 12 6
= 1080 cm3
Hence, the volume of cuboid is 1080 cm3 is the answer.
Therefore , the correct option is a)1080
4x) + (4x2x) + (2x5x))3 =15cm,3 = 12cm3 = 6cm b h 12 6Related Questions to study
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