Question

A ( 10cm height) and B ( 15cm height) are two similar solids the volume of A is 400cm^3 work out the volume of b

Answer 1

1350 cm³

Explanation:

Given 2 similar solids with sides in the ratio a : b , then

ratio of volumes = a³ : b³

Here the ratio of heights of A : B = 10 : 15 = 2 : 3 , thus

ratio of volumes A : B = 2³ : 3³ = 8 : 27

let x represent the volume of B then using proportion

`(8)/(400)` =
`(27)/(x)` ( cross- multiply )

8x = 10800 ( divide both sides by 8 )

x = 1350

The volume of solid B = 1350 cm³