Question

What’s the volume of each prism?

Answer 1

`V=40units^(3) \\ \\ V=1cm^(3) \\ \\ V=1in^(3)`

Explanation:

A prism is a solid object having two identical bases, hence the same cross section along the length. Prism are called after the name of their base. So in this exercise we have three prisms. The first one is a rectangular prism having lengths in units, the second one is a cube having lengths in centimeters and the third one is another cube having lengths in inches. A rectangular prism is a solid whose base is a rectangle while a cube is a prism whose sides all have the same length.

FOR THE RECTANGULAR PRISM:

Multiplying the three dimensions of a rectangular prism: length, width and height, gives us the volume of a prism:

`V=L* W* H \\ \\ V=5* 2 * 4 \therefore \boxed{V=40units^(3)}`

FOR THE CUBES:

If the edge length of a cube is S, then the volume can be found as:

`V=S^(3)`

Cube of 1 cm on each side:

`S=1cm \\ \\ V=1cm^(3)`

Cube of 1 in on each side:

`S=1in \\ \\ V=1in^(3)`