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

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 class=

Respuesta :

Answer:

The volume of the rectangular prism in cubic inches is;

[tex]4\text{ cubic inches}[/tex]

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;

[tex]h=2\times\frac{1}{2}in=1in[/tex]

The length and width of the rectangular prism is;

[tex]\begin{gathered} l=4\times\frac{1}{2}in=2in \\ w=4\times\frac{1}{2}in=2in \end{gathered}[/tex]

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

[tex]V=l\times w\times h[/tex]

substituting the values;

[tex]\begin{gathered} V=2in\times2in\times1in \\ V=4\text{ }in^3 \end{gathered}[/tex]

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

[tex]4\text{ cubic inches}[/tex]