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

Answer:

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

Step-by-step 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, $2\textrm{ ft} = 2\times 12 = 24\textrm{ in}$

Also, 1 yd = 36 in

So, $10\textrm{ yd} = 10\times 36 = 360\textrm{ yd}$

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

$V=3\times 24\times 360=25920\textrm{ }in^{3}$

Now, we know that,

$1\textrm{ in} = \frac{1}{36}\textrm{ yd}\\1\textrm{ }in^{3}=\frac{1}{36^{3}}\textrm{ }yd^{3}$

Therefore,

$25920\textrm{ }in^{3}=25920\times \frac{1}{36^{3}}= 0.56\textrm{ }yd^{3}$

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