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Papessa [141]
1 year ago
8

Find the total surface area of the triangular prism.

Mathematics
1 answer:
Montano1993 [528]1 year ago
4 0

Answer:

\mathsf {480 cm^{2}}

Step-by-step explanation:

\textsf {Apply the Pythagorean Theorem to find missing edge length :}

\implies \mathsf {x^{2} = 13^{2} - 12^{2}}

\implies \mathsf {x^{2} = 169 - 144}

\implies \mathsf {x = \sqrt{25}}

\implies \mathsf {x = 5}

\textsf {Now, the total surface area is :}

\implies \textsf {Area of 2 right triangles + Area of base + Area of left slanted face}\\\textsf {+ Area of right slanted face}

\implies \mathsf {2 \times 1/2 \times 5 \times 12 + 13 \times 15 + 12 \times 15 + 5 \times 15}

\implies \mathsf {60 + 195 + 180 + 75}

\implies \mathsf {225 + 255}

\implies \mathsf {480 cm^{2}}

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