Question

A semi-truck trailer is basically a rectangular prism. A typical height for the inside of these trailers is 108 inches . If the trailer is 8 feet wide and 20 feet long, what is the volume of the trailer

Answer 1

Given Information:

Height of trailer = h = 108 inches

Width of trailer = w = 8 feet

Length of trailer = L = 20 feet

Required Information:

Volume of trailer = V = ?

Answer:

Volume of trailer = 1440 ft³

Explanation:

Since we know that this trailer has same shape as that of a rectangular prism, we can find the volume of the trailer by using,

V = bh

Where b is the base area of the trailer and h is the height.

b = w*L

b = 8*20

b = 160 ft²

Please note that it is important to have same units throughout the problem. Since the unit is not specifically mentioned, we can either convert all quantities into inches or feet.

We know that 1 foot has 12 inches so

h = 108/12 = 9 feet

V = bh

V = 160*9

V = 1440 ft³

Therefore, the volume of the semi-truck trailer is 1440 ft³

Answer 2

The answer is:

`Volume=1440ft\\or\\Volumen =17280inches`

Explanation:

In first place you sould consider that the semi-truck trailer is a rectangular prism. The volume of a rectangular prism is obtain by:

`Volume=height*base area\\Base area= a*b \\a; width\\b; long`

The width is 8 feet and the long is 20 feet, which means:

`Base Area= 8*20=160 ft`

Now the height is given in inches, we need all the values in inches or in feet. 1 inch is equal to 0.0833333 feet. To trasform the height to feet we apply The Rule of Three:

`1in -0.0833333ft\\108in-x\\x=(108*0.0833333)/(1) =9ft`

So the volume is given by the following equation:

`Volume= 9*160=1440ft`

To transform the volume to inches we just multiply by 12:

`Volumen=1440*12=17280inches`