Use formulas to find the lateral area and surface area of the prism
4in
5in
11in
To find the lateral area of a prism, you can use the formula: Lateral Area = perimeter of base x height
Given that the base of the prism is a rectangle with sides of 4in and 5in, the perimeter of the base would be:
Perimeter = 2(4in) + 2(5in) = 8in + 10in = 18in
Now, the height of the prism is given as 11in. So, the lateral area would be:
Lateral Area = 18in x 11in = 198in^2
To find the surface area of the prism, you can use the formula: Surface Area = 2 x base area + lateral area
The base area of the prism would be:
Base Area = 4in x 5in = 20in^2
Now, using the lateral area calculated earlier:
Surface Area = 2(20in^2) + 198in^2
Surface Area = 40in^2 + 198in^2
Surface Area = 238in^2
Therefore, the lateral area of the prism is 198in^2 and the surface area is 238in^2.