Question

The scale factor of a large oil container to a small oil contianer is 0.075. The large Oil container can carry 144,000cm^3 of oil.

How much oil can the small container carry?

A.)10,800cm^3
B.)810cm^3
C.)60.75^3
D.)0.075cm^3

Answer 1

You times 0.075 into 144000 and you should get A. 110800.

Answer 2

Option C
`60.75\ cm^(3)`

Explanation:

Let

x------> the volume of the small container

y------> the volume of the large container

z-----> the scale factor

we know that

The volume of the small container is equal to the scale factor elevated to the cube multiplied by the volume of the large container

so

`x=z^(3)y`

In this problem we have

`z=0.075, y=144,000\ cm^(3)`

substitute

`x=0.075^(3)(144,000)=60.75\ cm^(3)`