Question

what is the volume of the right prism shown ? the prism is drawn to scale . the volume of the prism is _______

Answer 1

the volume of the right trapezoidal prism is 300 cubic inches.

Explanation:

Answer 2

The formula to find the volume of a right trapezoidal prism is

`\begin{gathered} V=((a+b))/(2)\cdot h\cdot l \\ \text{ Where V is the volume} \\ a\text{ is the long base} \\ \text{b is the short base} \\ h\text{ is the height and } \\ l\text{ is the length of the right trapezoidal prism} \end{gathered}`

So, in this case, you have

`\begin{gathered} a=7.5in \\ b=5in \\ h=6in \\ l=8in \end{gathered}`
`\begin{gathered} V=((a+b))/(2)\cdot h\cdot l \\ V=((7.5in+5in))/(2)\cdot6in\cdot8in \\ V=300in^3 \end{gathered}`

Therefore, the volume of the right trapezoidal prism is 300 cubic inches.