Question

What is the surface area of the prism in square inches?

A prism is made up of 3 rectangles and 2 triangles. A rectangle has base of 12 and height of 10. A rectangle has base of 10 and height of 13. A rectangle has base of 10 and height of 5. 2 triangles have a base of 12 inches and height of 5 inches.

Answer 1

Total area of the prism =
`360\,inches^2`

Explanation:

The surface area of the prism is:

Area of the three rectangles+ Area of two triangles

Area of the rectangle:

For;

`Length=12\,inches\\Width=10\,inches`

Area=
`Length* Width`

`=12* 10\\Area =120\,inches^2`

For,

`Length=10 inches\\Width=13 \,inches\\`

`=10* 13\\Area=130\,inches^2`

For,

`Length=10\,inches\\Width=5\,inches`

`=10* 5\\Area= 50\,inches^2`

For, Two Triangles:

`Area= 2((1)/(2)* Base* Height)\\\\Area=Base* Height`

`Base=12\,inches\\Height=5\,inches`

`Area=12* 5\\Area = 60\,inches^2`

Total area of the prism is :

`=120+130+50+60\\\\=360\,inches^2\\`