The base of a right prism is a right triangle. The lengths of the legs of the right triangle are 4 centimeters and 8 centimeters. The height of the prism is 5 centimeters. What is the volume of the prism?

The base of a right prism is a right triangle The lengths of the legs of the right triangle are 4 centimeters and 8 centimeters The height of the prism is 5 cen class=

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SOLUTION:

Step 1:

In this question, we are given the following:

Step 2:

The details of the solution are:

Triangular prism formula:

[tex]\text{Volume of Right Triangular prism = }\frac{1}{2}X\text{ a X b x h}[/tex]

, where b is the length of the base of the triangle, h is the height of the triangle and length is prism length.

where:

[tex]\begin{gathered} a\text{ = 4 cm} \\ b\text{ = 8 cm} \\ h\text{ = 5cm} \end{gathered}[/tex][tex]\text{Volume of the prism = }\frac{1}{2}X4X8X5=80cm^3[/tex]

CONCLUSION:

The volume of the prism =

[tex]80cm^{3\text{ }}(OPTION\text{ A)}[/tex]

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