Question

A glass triangular prism for a telescope is 5.5 inches long. Each side of the prism's triangular bases is 4 inches long and 3 inches high. How much glass covers the surface of the prism?

The answer choices are: 75, 76, 77, and 78. This is due tomorrow morning, please help

Answer 1

78 square inches

Explanation:

It is given that the length of the glass triangular prism for a telescope=5.5 inches, sides of the triangular prism = 4 inches and height =3 inches.

Thus, Surface area of the triangular prism =
`bh+(s_(1)+ s_(2)+s_(3))H` where H is the length of the triangular prism.

SA=
`(4)(3)+(4+4+4)(5.5)`

=
`12+12(5.5)`

=78 square inches.