Question

the length and breadth and height of a rectangular solid are in the ratio 5:4:2. If total surface area is 1216cm².fi d the volume of the solid​

Answer 1

Answer:

Step-by-step explanation:

let the common ratio of length breadth and height be x

so length=5x

breadth=4x

height=2x

given T.S.A=1216 cm²

2(lb+bh+lh)=1216

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

2(20x²+8x²+10x²)=1216

=2(38x²)=1216

=76x²=1216

=x²=1216/76

=x²=16

=x=√16

=x=4

so length=5×4=20 cm

breadth=4×4=16 cm

height=2×4=8 cm

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