Use formulas to find the lateral area and surface area of the prism.

12in
15in
28in

1 answer

To find the lateral area of a rectangular prism, you can use the formula:

Lateral Area = 2 * height * (length + width)

In this case:
Height = 12in
Length = 15in
Width = 28in

Lateral Area = 2 * 12 * (15 + 28)
Lateral Area = 2 * 12 * 43
Lateral Area = 2 * 516
Lateral Area = 1032 square inches

To find the surface area of the rectangular prism, you can use the formula:

Surface Area = 2 * (length * width + length * height + width * height)

Surface Area = 2 * (15 * 28 + 15 * 12 + 28 * 12)
Surface Area = 2 * (420 + 180 + 336)
Surface Area = 2 * 936
Surface Area = 1872 square inches

Therefore, the lateral area of the prism is 1032 square inches and the surface area of the prism is 1872 square inches.