Question

Find the surface area of the rectangular prism.
4 yd
3 yd
3 yd

Answer 1

`A = 66\ yd^2`

Explanation:

You can either add up all the areas of the faces of the rectangular prism, or you can use the following formula:

`A = 2(wl+hl+hw)\\A = 2(3 * 3 + 4 * 3 + 4 * 3)\\A = 2(9+12+12)\\A = 2(33)\\A = 66`

Answer 2

The surface area of the rectangular prism is
`66\ yd^2`

Explanation:

Step 1: Find the area of the front and back

`A = l * w`

`A = 3\ yd * 4\ yd`

`A = 12\ yd^2 * 2`

`A = 24\ yd^2`

Step 2: Find the area of the top and bottom

`A = l * w`

`A = 3\ yd * 3\ yd`

`A = 9\ yd^2 * 2`

`A = 18\ yd^2`

Step 3: Find the area of the left and right sides

`A = l * w`

`A = 3\ yd * 4\ yd`

`A = 12\ yd^2 * 2`

`A = 24\ yd^2`

Step 4: Total area

`A_(total) = 24\ yd^2 + 18\ yd^2 + 24\ yd^2`

`A_(total)= 66\ yd^2`

Answer: The surface area of the rectangular prism is
`66\ yd^2`