Question

Find the height of a right rectangular prism with surface area 286 m^2, length 10 m, and width 8 m.

I need this ASAP​

Answer 1

Answer: The height of the right rectangular prism is 3.5 meters.

Explanation:

To find the height of the right rectangular prism, you need to use the formula of the surface area of a rectangular prism, where
`l` is the lenght,
`w` is the width and the height is
`h`:

`SA=2wh+2lw+2lh`

Substitute
`SA=286`,
`l=10` and
`w=8` into the formula and solve for the height of the right rectangular prism:

`SA=2wh+2lw+2lh\\\\286=2(8)h+2(10)(8)+2(10)h\\\\286=16h+160+20h\\\\286=160+36h\\\\286-160=36h\\\\126=36h\\\\(126)/(36)=h\\\\h=3.5\ m`