Question

Jason used cubes to make the rectangular prism shown below. Each cube has an edge length of 1 inch (in.) in. in. What is the volume, in cubic inches, of the rectangular prism? 4 8 0 16 32

Answer 1

The volume of the rectangular prism in cubic inches is;

`4\text{ cubic inches}`

Step-by-step explanation:

Given the figure in the attached image;

The edge length of each cube is 1/2 in.

so, the height of the rectangular prism which has two cubes is;

`h=2*(1)/(2)in=1in`

The length and width of the rectangular prism is;

`\begin{gathered} l=4*(1)/(2)in=2in \\ w=4*(1)/(2)in=2in \end{gathered}`

Recall that the volume of a rectangular prism can be calculated using the formula;

`V=l* w* h`

substituting the values;

`\begin{gathered} V=2in*2in*1in \\ V=4\text{ }in^3 \end{gathered}`

Therefore, the volume of the rectangular prism in cubic inches is;

`4\text{ cubic inches}`