Question

A trunk measures `48` inches long, `22 1/2`feet wide, and `32` inches high. What is the volume of the box?

Answer 1

Volume of the trunk is `240` cubic feet.

Explanation:

Volume of the trunk is `V=l*w*h= 48*22.5*12*32*= 414720` cubic inches `= 414720/(12*12*12)=240` cubic feet [Ans]

Answer 2

`414720` `"in"^3`

Explanation:

To find the Volume of the box, we use the formula

`color(blue)("Volume"=l*w*h`

Where `l,w and h` are the length,width and height of the box

But in this case, the width is in feet.So convert it into inches

`color(orange)(1` `color(orange)("feet"=12` `color(orange)("inches"`

`color(orange)(22 1/2` `color(orange)("feet"=22 1/2*12=270` `color(orange)( "inches"`

Let's find the volume

`rarrl*w*h`

`rarr48*270*32`

`color(green)(rArr414720` `color(green)("in"^3`

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We can also convert it into cubic feet

`rarr414720` `"in"^3`

`rarr414720/(12*12*12)`

`rarr414720/1728`

`color(green)(rArr240` `color(green)("feet"^3`

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