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

a

Explanation:

Answer 2

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 =
`(1)/(2)* b* h`

Area of left triangle =
`(1)/(2)* 5* 12`

Area of right triangle =
`(1)/(2)* 5* 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

`$=(1)/(2)* 5* 10+(1)/(2)* 5* 10+5* 10+12* 10+13* 10`

Replace multiplication by brackets.

`$=(1)/(2)(5)(10)+(1)/(2)(5)(10)+5( 10)+12( 10)+13( 10)`

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

`$(1)/(2)(5)(10)+(1)/(2)(5)(10)+5( 10)+12( 10)+13( 10)`.