Triangular Prism Volume

A triangular prism has the base of a right triangle with 6 dm and 8 dm legs and a hypotenuse of 10 dm. The height of the prism is 40 dm.
What is the volume of a prism?

Final Answer:

V =  960 dm³

Step-by-step explanation:

$$\begin{gathered} a=6\text{dm} \\ b=8\text{dm} \\ c=10\text{dm} \\ h=40\text{dm} \\ {S}_1=\frac{a\cdot b}{2}=\frac{6\cdot 8}{2}=24{\text{dm}}^2 \\ {c}_1=\sqrt{a^2+b^2}=\sqrt{6^2+8^2}=10\text{dm} \\ {c}_1=c \\ V=S_1\cdot h=24\cdot 40=960{\text{dm}}^3 \end{gathered}$$

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