Question

What is the volume of a rectangular prism that has a height of 3 inches and a base of 14 square inches?

Answer 1

Answer:
`42 in^(3)`

Step-by-step explanation:

The volume of a rectangular prism is given by the multiplication of its three dimensions: length, width and height.

`V=(length)(width)(height)` (1)

This also can be seen as the multiplication of the area of one of its faces (length times width, for example) and its height. In fact, this is the case here.

We are given the area of the base of the rectangular prism:

`A=(length)(width)=14 in^(2)` (2)

And the value of its height:

`h=3 in` (3)

Hence, the volume of this prism is:

`V=(A)(h)` (4)

`V=(14 in^(2))(3 in)` (5)

Then:

`V=42 in^(3)` This is the volume of the rectangular prism