Question

Use formulas to find the lateral area and surface area of the prism.
15in
17in
23in

Answer 1

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

Lateral Area = perimeter of base * height

For a rectangular prism, the perimeter of the base is given by P = 2(l + w), where l is the length of the base and w is the width. The lateral area is therefore:

Lateral Area = 2(15 + 17) * 23
Lateral Area = 2(32) * 23
Lateral Area = 64 * 23
Lateral Area = 1472 square inches

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

Surface Area = 2 * base area + lateral area

For a rectangular prism, the base area is given by A = l * w. The surface area is then:

Surface Area = 2(15 * 17) + 1472
Surface Area = 2(255) + 1472
Surface Area = 510 + 1472
Surface Area = 1982 square inches

So, the lateral area of the prism is 1472 square inches and the surface area is 1982 square inches.