The volume of a cuboid is 504√5cm2. If the ratio between its height is√2:√5 then find the breadth of the cuboid. (Where length of the cuboid is 7√2 cm.) *
a. 6√2cm
b. 3√2cm
c. 2√2cm
d. 8√2cm
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Consider a given The given The length, breadth and height of a cuboid are in the ratio 5:4:2 and the total surface area is 1216cm2,
Let, the dimension of cuboid are l=5x,b=4x and h=2x
Now, the surface area of cuboid =2(5x×4x+4x×2x+2x×5x)=76x2
Now,
76x2=1216
x2=16
x=4
Dimensions of cuboid are,
l=5x=5×4=20cm,b=4x=4×4=16cm
h=2x=2×4=8cm
Volume of cuboid=l×b×h=20×16×8=2560cm3
Hence, this is the answer.
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