Use formulas to find the lateral area and surface area of the prism.
12in
13in
19in
Round to the nearest whole number as needed
To find the lateral area of a rectangular prism, you can use the formula: Lateral area = perimeter of base * height
The perimeter of the base of the rectangular prism can be found by adding the four side lengths:
Perimeter = 2(12in) + 2(13in) = 24in + 26in = 50in
Now, we can find the lateral area:
Lateral area = 50in * 19in = 950in²
To find the surface area of the rectangular prism, you can use the formula:
Surface area = 2*(area of base) + lateral area
The area of the base of the rectangular prism can be found by multiplying the two base dimensions:
Area = 12in * 13in = 156in²
Now, we can find the surface area:
Surface area = 2*(156in²) + 950in² = 312in² + 950in² = 1262in²
Therefore, the lateral area of the prism is 950 square inches and the surface area of the prism is 1262 square inches.