Question

the Length breadth and height of a rectangular solid are in the ratio 5 is to 4 is to 2. If its total surface area if 1216 cm cube find the volume of the solid​

Answer 1

Answer: ratio=5:4:2

Let length=5k

Breadth=4k

Height=2k

ATQ

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

2(20k^2+8k^2+10k^2)=1216

2*38k^2=1216

38k^2=608

K^2=16

K=4

Length=5k=5*4=20 cm

Breadth=4k=4*4=16cm

Height =2k=2*4=8 cm

Volume=20*16*8

=2560 cu. cm

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