Question 1

Find the total surface area of the triangular prism.

Question 2

Answer:

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

Explanation:

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

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

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

$\implies \mathsf {x = √(25)}$

$\implies \mathsf {x = 5}$

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

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

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

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

$\implies \mathsf {225 + 255}$

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

Please log in or register to add a comment.

Please log in or register to answer this question.