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

What Is The Volume Of The Right Prism Shown The Prism Is Drawn To Scale The Volume Of The Prism Is class=

Sagot :

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

[tex]\begin{gathered} V=\frac{(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}[/tex]

So, in this case, you have

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

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

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