Question

These two bottles are similar.

The width of the large size is 9.9 cm and its height is 19.8 cm
The width of the small size bottle is 4.5 cm.
hcm
4.5 cm
19.8 cm
9.9 cm
Calculate the height of the small bottle.

Answer 1

height of small bottle = 9 cm

Explanation:

Since the two bottles are similar , then the ratios of width to height are in proportion.

let h be the height of the small bottle, then

`(9.9)/(4.5)` =
`(19.8)/(h)` ( cross- multiply )

9.9h = 4.5 × 19.8 = 89.1 ( divide both sides by 9.9 )

`(9.9)/(9.9)` =
`(89.1)/(9.9)` , that is

h = 9

The height of the small bottle is 9 cm