Question
Use formulas to find the lateral area and surface area of the prism.
12in
13in
19in
Round to the nearest whole number as needed
12in
13in
19in
Round to the nearest whole number as needed
Answers
GPT 3.5
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.
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.