Question

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

The net of a rectangular prism. The rectangular sides are 10 centimeters by 13 centimeters, 10 centimeters by 12 centimeters, and 10 centimeters by 5 centimeters. The triangular sides have a base of 5 centimeters and height of 12 centimeters.

[Not drawn to scale]

Surface Area = (one-half) (5) (12) + (5) (10) + (12) (10) + (13) (10)
Surface Area = (one-half) (5) (13) + (one-half) (5) (13) + (13) (10) + (12) (10)
Surface Area = (2) (5) (13) + (5) (10) + (13) (10) + (12) (10)
Surface Area = (one-half) (5) (12) + (one-half) (5) (12) + (5) (10) + (12) (10) + (13) (10)

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:

a

Step-by-step explanation: