Perpendicular 3146

The base of the vertical prism is a right triangle with a perpendicular 5 cm. The area of the largest wall is 130 cm², and the body's height is 10 cm. Calculate the surface area of ​​the body.

Final Answer:

S =  360 cm²

Step-by-step explanation:

$$\begin{gathered} S_1=130{\text{cm}}^2 \\ h=10\text{cm} \\ a=5\text{cm} \\ c=S_1/h=130/10=13\text{cm} \\ {c}^2=a^2+b^2 \\ b=\sqrt{c^2-a^2}=\sqrt{13^2-5^2}=12\text{cm} \\ S=a\cdot b+h\cdot (a+b+c)=5\cdot 12+10\cdot (5+12+13)=360{\text{cm}}^2 \end{gathered}$$

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