1. find the lateral area of a right prism whose altitude measures 20 cm and whose base is a square with a width 7 cm long.

total surface area = 2 squares + 4 rectangles

=

s2

To find the lateral area of a right prism, you need to identify the number of faces that make up the lateral surface. In this case, a right prism has two congruent, parallel bases and rectangular or square faces connecting the corresponding vertices of the bases.

1. Calculate the perimeter of the base:
Since the base is a square with a width of 7 cm, all sides are of equal length. The perimeter of a square is calculated by multiplying the length of one side by 4.
Perimeter of the base = 7 cm × 4 = 28 cm

2. Calculate the lateral area:
To find the lateral area, we multiply the perimeter of the base by the height or altitude of the prism.
Lateral area = Perimeter of the base × Altitude
Lateral area = 28 cm × 20 cm = 560 cm^2

Therefore, the lateral area of the right prism with an altitude of 20 cm and a base that is a square with a width of 7 cm is 560 square centimeters.