Question

A box is 3 inches by 2 feet by 10 yards. How many cubic inches are in the box? How many cubic yards are in the box? (Show all work)

Answer 1

There are 25920 cubic inches and 0.56 cubic yards in the box.

Explanation:

Given:

The dimensions of the box are 3 in by 2 ft by 10 yd.

Convert all in inches.

We know that, 1 ft = 12 in

So,
`2\textrm{ ft} = 2* 12 = 24\textrm{ in}`

Also, 1 yd = 36 in

So,
`10\textrm{ yd} = 10* 36 = 360\textrm{ yd}`

Now, volume of the box in cubic inches is given as:

`V=3* 24* 360=25920\textrm{ }in^(3)`

Now, we know that,

`1\textrm{ in} = (1)/(36)\textrm{ yd}\\1\textrm{ }in^(3)=(1)/(36^(3))\textrm{ }yd^(3)`

Therefore,

`25920\textrm{ }in^(3)=25920* (1)/(36^(3))= 0.56\textrm{ }yd^(3)`

So, there are 25920 cubic inches and 0.56 cubic yards in the box.