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what is the service area of this triangular prism with a square base? the dimensions are 15 cm by 8 cm by 7 cm by 17 cm.

User Shaul
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1 Answer

2 votes

Answer:

400 square cm

Step-by-step explanation:

The surface area of the figure is composed of the area of the two triangular, and three rectangular sides.

The surface area of the triangular sides is


2*((1)/(2)\cdot8\operatorname{cm}\cdot15\operatorname{cm})_{}=120\operatorname{cm}^2

The surface area of the two rectangular bases is


(15\operatorname{cm}*7\operatorname{cm})+(8\operatorname{cm}*7\operatorname{cm})=161\operatorname{cm}^2

And the surface area of the lateral side is


17\operatorname{cm}*7\operatorname{cm}=119\operatorname{cm}^2

Therefore, the total surface area of the prism is


120\operatorname{cm}+161\operatorname{cm}+119\operatorname{cm}=400\operatorname{cm}

The surface area of the triangular prism is 400 square cm.

User Taar
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