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]

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

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

c
Surface Area = (2) (5) (13) + (5) (10) + (13) (10) + (12) (10)

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

Answer 1

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Answer 2

a.
`A_(s) = (1)/(2)\cdot (5\,cm)\cdot (12\,cm) + (10\,cm)\cdot (13\,cm) + (10\,cm) \cdot (12\,cm) + (10\,cm)\cdot (5\,cm)`

Explanation:

The surface area of the rectangular prism is:

`A_(s) = (1)/(2)\cdot (5\,cm)\cdot (12\,cm) + (10\,cm)\cdot (13\,cm) + (10\,cm) \cdot (12\,cm) + (10\,cm)\cdot (5\,cm)`

`A_(s) = 330\,cm^(2)`

Hence, the answer is A.