Question

Two containers are mathematically similar.

Their volumes are 54cm3
and 128 cm3
.
The height of the smaller container is 4.5cm.
Calculate the height of the larger container

Answer 1

Answer: 6cm

Step-by-step explanation: VF=(SF)^3

let x be the height of the larger container

VF1/VF2=(SF1/SF2)^3

54/128=(4.5/X)^3

rearrange to find x

x=cube root of (4.5^3*128)/54

x=6cm