Question

The length breath and height<br /> of cuboid are in the ratio 5:4:2<br /> if the T.S.A is 1216cm².<br />Find volume of cuboid​

Answer 1

Step-by-step explanation:

let length = 5x

breadth = 4x

height = 2x

TSA = 1216 Cm²

now... TSA of cuboid = 2(lb+bh+hl)

1216 = 2(5x*4x +4x*2x* + 2x*5x)

1216 = 2(20x² + 8x² +10 x²)

1216 = 2(38x2)

1216 = 76 x²

1216/76 = x²

16 = x²

4 = x

so.. length= 5x = 4*5 = 20 cm

breadth = 4x = 4*4 = 16 cm

height= 2x = 4*2 = 8cm

so.. volume will be = l*b*h

20*16*8

2560 cm³

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Answer 2

Answer:

Let the length, breadth and height of the cuboid be 5x , 4x and 3x respectively.

T .S .A. of cuboid = 1216 cm square

2 ( lb. + bh + hl) = 1216

(5x)(4x)+(4x)(2x)+(2x)(5x) = 608

20x^2 + 8x^2 + 10x^2 =608

38x^2 = 608

x^2 = 16

x = 4

Length=20cm

Breadth=16cm

Height=8cm

Volume of cuboid = lb. = 20×16×8 = 2569 cm^3