Question

a rectangular prism measures 8 inches in width, 12 inches in length, and 4 inches in height. what is the surface area of the prism?

Answer 1

The surface area of prism = 352 square inches

Explanation:

Formula:-

Surface are of rectangular prism = 2(lb + bh + lh)

l - Length of prism

b - width of prism

h - Height of prism

It is given that,a rectangular prism measures 8 inches in width, 12 inches in length, and 4 inches in height.

To find the surface area of prism

l = 12 inches

b = 8 inches

h = 4 inches

surface area = 2(lb + bh + lh) = 2(12*8 + 8*4 +12*4)

= 2(96 + 32 + 48) = 352 square inches.

Therefore the surface area of prism = 352 square inches

Answer 2

For this case we have that the surface area of the prism is given by:

`SA = A_ {l} + 2B`

Where:

`A_(l)`: Is the lateral area

B: It is the area of the base

`A_ {l} = P.h`

Where:

Q: It is the perimeter of the base

h: It's the height

`A_ {l} = 40 * 4\\A_ {l} = 160 \ in ^ 2`

On the other hand:

`B = 12 * 8\\B = 96 \ in ^ 2`

So, we have:

`SA = A_ {l} + 2B\\SA = 160 \ in ^ 2 + 2 * 96 \ in ^ 2\\SA = 352 \ in ^ 2`

Answer:

`SA = 352 \ in ^ 2`