Math, asked by rudrashetty880, 2 months ago

the length breadth and height of a cuboid are in the ratio 9:5:2 if the lateral surface area is 2016 cm² find the dimensioms of the cuboid​

Answers

Answered by islegend12345
2

Answer:

2560 cm^3

Step-by-step explanation:

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

Answered by Anshusingh00
0

Answer:

Correct option is

B

2560cm

3

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.

Step-by-step explanation:

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