Respuesta :

Answer:

[tex]286ft^2[/tex]

Step-by-step explanation:

The rectangular prism has a total surface area given by

[tex]T.S.A=2(lw+lh+wh)[/tex]

where [tex]l=5ft,w=9ft,h=7ft[/tex]

Substitute the values into the formula to get;

[tex]T.S.A=2(5\times9+5\times 7+9\times 7)[/tex]

Simplify

[tex]T.S.A=2(143)[/tex]

[tex]T.S.A=286ft^2[/tex]

Answer:

The correct answer option is 286 feet^2.

Step-by-step explanation:

We are given a rectangular prism with the length of 5 feet, width of 9 feet and a height of 7 feet.

We know that the formula of the surface area of a rectangular prism is given by:

Surface area of rectangular prism = 2 ( wl + hl + hw )

Substituting the given values in the formula to get:

Surface area of prism = 2 {(9 * 5) + (7 * 5) + (7 * 9)} = 286 feet^2