Question

The length, breadth and height of a cuboidal container are in the ratio 4:3:2 and its volume is 12288 cm3.What arethe respective values of length, breadth and height of the container? *​

Answer 1

Answer:

l=32cm, b=24cm, h=16cm

Step-by-step explanation:

Let the respective values of length, breadth and height of the container be x.

l=4x, b=3x, h=2x

Volume of the container=12288cm³

l×b×h=12288

4x×3x×2x=12288

24x³=12288

x³=12288/24

x³=512

x=3√512

x=8cm

l=4x=4×8=32cm

b=3x=3×8=24cm

h=2x=2×8=16cm

Therefore, the respective values of length, breadth and height of the container is 32cm, 24cm and 16cm.