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A clothing truck is shaped like a rectangular prism. The volume of the truck 15 ft cubed. The area of the base of the container is 6 ft squared. What is the height of the clothing truck in feet?

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cryssatemp

Answer: 2.5 ft

Step-by-step explanation:

The volume of a rectangular prism is given by the following formula:

[tex]V=(l)(w)(h)[/tex] (1)

Where:

[tex]l[/tex] is the length of the base

[tex]w[/tex] is the width of the base

[tex]h[/tex] is the height of the prism

On the other hand, tha area of a rectangle is:

[tex]A=(l)(w)[/tex] (2)

Then, we can rewrite (1) in terms of (2):

[tex]V=(A)(h)[/tex] (3)

Now, we know the value of the volume and the area of the base:

[tex]V=15ft^{3}[/tex]

[tex]A=6ft^{2}[/tex]

Substituting these values in (3):

[tex]15ft^{3}=(6ft^{2})(h)[/tex] (4)

Isolating [tex]h[/tex]:

[tex]h=2.5 ft[/tex] This is the height of the truck

samuelonum1

The expression for the height was gotten by making height subject of formula , and the height was gotten as 2.5ft

Volume of Prism

Given Data

  • Volume = 15ft cubed
  • Area of base = 6ft

We know that the expression for the volume of a solid shape is

Volume = Area * Height

Substituting our given data we have

15 = 6*h

Making h the subject of the formula we have

h = 15/6

h = 2.5 ft

Learn more about prism here:

https://brainly.com/question/23963432

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