Question

A metal tank has a volume of 1120 cu.m. If the length, breadth and height are
in the ratio 7:5 : 4, find their measures.​

Answer 1

✯solution ✯

a metal tank has a volume of 1120m³

the length ,breadth and height are In the ratio

7:5:4

we write the length as 7x, breadth as 5x and height as 4x

volume of a cuboid =l×b×h(here l=length ,b=breadth and h =height)

=7x×5x×4x=1120(7x×5x×4x=140x³)

140x³=1120

or,x³=1120/140

or,x³=8

or,3√x³=3√8

or,x=2

length =2×7=14cm

breadth =2×5=10cm

height =2×4=8cm