PRISM
- a polyhedron of which two faces are equal polygons in parallel planes and the order faces are parallelograms.Rectangular Prism:
- a prism whose six faces are rectangles.
Illustration:
Area Total or surface area:
above: A1 = l*w
bottom: A2 = l*w
4 SIDES: S1 = h*w
S2 = h * w
S3 = h * l
S4 = h * l
Area Total = A1 + A2 + S1 + S2 + S3 + S4
Problem:
1. The rectangular prism has the length measures 10 feet, width 8 feet, and stands 6 feet. Find the total surface area of the prism.
Given:
l = 10 ft.
w = 8 ft.
h = 6 ft.
Required: Surface area
Solution:
A1 = l*w = 10 ft* 8 ft = 80 square feet
A2 = l*w = 10 ft* 8 ft = 80 square feet
S1 = h*w = 6 ft * 8 ft = 48 square feet
S2 = h*w = 6 ft * 8 ft = 48 square feet
S3 = h*w = 6 ft *10 ft = 60 square feet
S4 = h*w = 6 ft *10 ft = 60 square feet
Area Total = A1 + A2 + S1 + S2 + S3 + S4
= 80 square feet + 80 square feet + 48 square feet + 48 square feet + 60 square feet + 60 square feet
= 376 square feet: final answer
2. Find the total surface area of a prism with 5 centimeters by 5 centimeters by 5 centimeters as dimension.
Given:
l = 5 cm
w = 5 cm
h = 5 cm
Required: Surface area
Solution:
A1 = l*w = 5 cm* 5 cm = 25 square centimeters
A2 = l*w = 5 cm* 5 cm = 25 square centimeters
S1 = h*w = 5 cm* 5 cm = 25 square centimeters
S2 = h*w = 5 cm* 5 cm = 25 square centimeters
S3 = h*w = 5 cm* 5 cm = 25 square centimeters
S4 = h*w = 5 cm* 5 cm = 25 square centimeters
Area Total = A1 + A2 + S1 + S2 + S3 + S4
= 25 square centimeters + 25 square centimeters + 25 square centimeters + 25 square centimeters + 25 square centimeters + 25 square centimeters
= 150 square centimeters: final answer
