MATH SOLVE

3 months ago

Q:
# A rectangular prism has a length of 3 1/2 inches, a width of 5 inches, and a height of 1 1/2 inches. What is the volume of the prism? Answer ASAP

Accepted Solution

A:

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 baseh: It is the height of the prismSo:[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]