For this case, we have that by definition, the volume of a rectangular prism is given by:
[tex]V = A_ {b} * h[/tex]
Where:
[tex]A_ {b} = l * w,[/tex] It is the area of the base
h: It is the height of the prism
So:
[tex]l = 3 \frac {1} {2} = \frac {6 + 1} {2} = \frac {7} {2} in\\w = 5 \ in\\h = 1 \frac {1} {2} = \frac {2 + 1} {2} = \frac {3} {2} in[/tex]
So, we have:
[tex]A_ {b} = \frac {7} {2} * 5\\A_ {b} = \frac {35} {2}\\A_ {b} = 17.5 \ in ^ 2[/tex]
Thus, the volume will be:
[tex]V = 17.5 * \frac {3} {2}\\V = 26.25 \ in ^ 3[/tex]
Answer:
[tex]V = 26.25 \ in ^ 3[/tex]
