1.

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

Answer»

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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