Question

* The ratio of the length breath and tega
cuboid is 5:4:2 What is total surface area of the cuboid if the length of the largest diagonal that fits in the cuboid is 15√5 cm​

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9th

Maths

Surface Areas and Volumes

Surface Area of Cubes and Cuboids

The length, breadth and hei...

MATHS

The length, breadth and height of a cuboid are in the ratio 5 : 4 : 2 and the total surface area is 1216cm

2

, then the volume of the cuboid is

MEDIUM

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ANSWER

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 1216cm

2

,

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)=76x

2

Now,

76x

2

=1216

x

2

=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=2560cm

3

Hence, this is the answer.