Question

Find the total surface area of the triangular prism.

Answer 1

Answer:

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

Step-by-step explanation:

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

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

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

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

$\implies \mathsf {x = 5}$

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

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

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

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

$\implies \mathsf {225 + 255}$

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