Question

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.

Answer 1

Answer:

400 square cm

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

$2\times(\frac{1}{2}\cdot8\operatorname{cm}\cdot15\operatorname{cm})_{}=120\operatorname{cm}^2$

The surface area of the two rectangular bases is

$(15\operatorname{cm}\times7\operatorname{cm})+(8\operatorname{cm}\times7\operatorname{cm})=161\operatorname{cm}^2$

And the surface area of the lateral side is

$17\operatorname{cm}\times7\operatorname{cm}=119\operatorname{cm}^2$

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.