Surface area 6

Find the surface area of a prism whose bases are right triangles with sides of length 3, 4, and 5 inches and a height of 8 inches. Include a sketch

Correct answer:

S =  108 in²

Step-by-step explanation:

$$\begin{gathered} a=3\text{ in } \\ b=4\text{ in } \\ c=5\text{ in } \\ h=8\text{ in } \\ {S}_1=a\cdot b\mathrm{/}2=3\cdot 4\mathrm{/}2=6{\text{in}}^2 \\ p=a+b+c=3+4+5=12\text{ in } \\ {S}_2=p\cdot h=12\cdot 8=96 \\ S=2\cdot S_1+S_2=2\cdot 6+96=108{\text{in}}^2 \end{gathered}$$

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