Question

Find the surface area of the rectangular prism. justify your answer 3ft, 2ft, 4ft

Answer 1

Answer:
`SA=52\ ft^2`

Explanation:

The surface area of a rectangular prism can be calculated with the following formula:

`SA = 2wl + 2lh + 2hw`

Where "l" is the length of the rectangular prism, "w" is the width and "h" is the height.

In this case you can say that the length, the width and the heigth of this rectangular prism, are the following:

`l=4\ ft\\\\w=2\ ft\\\\h=3\ ft`

Knowing these values, you can substitute them into the formula shown before:

`SA = 2wl + 2lh + 2hw\\\\SA = 2(2\ ft)(4\ ft) + 2(4\ ft)(3\ ft)+ 2(3\ ft)(2\ ft)`

Finally, you must evaluate in order to calculate the surface area of the rectangular prism.

You get that this is:

`SA=2(8\ ft^2)+2(12\ ft^2)+2(6\ ft^2)\\\\SA=16\ ft^2+24\ ft^2+12\ ft^2\\\\SA=52\ ft^2`