Question

Which equation can be used to calculate the surface area of the triangular prism net show below?

Answer 1

Given:

Net of a triangular prism

To find:

Which equation can be used to calculate the surface area of the triangular prism.

Solution:

Using formulas:

Area of rectangle = length × width

Area of triangle = $\frac{1}{2}\times b\times h$

Area of left triangle = $\frac{1}{2}\times 5\times 12$

Area of right triangle = $\frac{1}{2}\times 5\times 12$

Area of bottom = 5 × 10

Area of Middle = 12 × 10

Area of top = 13 × 10

Surface area of triangular prism:

Surface area = Area of left triangle + Area of right triangle + Area of bottom + Area of middle + Area of top

                     $=\frac{1}{2}\times 5\times 10+\frac{1}{2}\times 5\times 10+5\times 10+12\times 10+13\times 10$

Replace multiplication by brackets.

                     $=\frac{1}{2}(5)(10)+\frac{1}{2}(5)(10)+5( 10)+12( 10)+13( 10)$

The equation can be used to calculate surface area of triangular prism is

$\frac{1}{2}(5)(10)+\frac{1}{2}(5)(10)+5( 10)+12( 10)+13( 10)$.

Answer 2

Answer: Answer C "SA = (1/2)(5)(12) + (1/2)(5)(12) + (5)(2) + (12)(2) + (13)(2)"

Step-by-step explanation: Since you guys were arguing in the comments, I tried all of your answers and the answer is C. B, A and D are incorrect.