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