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.
Use formulas to find the lateral area and surface area of the prism.
12in
15in
28in
1 answer