Answer:
Area of one rectangle A = 32 square centimeters.
4 copies of Rectangle A in the prism.
Total surface areaof all the copies of Rectangle A = 128 square centimeters.
Area of one square B = 15 square centimeters.
2 copies of square B in the prism.
Total surface areaof all the copies of square B = 32 square centimeters.
The total surface area of the prism = 160 square centimeters
Step-by-step explanation:
For A rectangles.
Area of a rectangle = Length × Breadth
The area of one rectangle A = 8cm × 4cm = 32 square centimeters.
There are 4 copies of Rectangle A in the prism.
Total surface areaof all the copies of Rectangle A = 4 × area of one Rectangle A
= 4 × 32
= 128 square centimeters
For B squares.
Area of a square = Length × Length
The area of one square B = 4cm × 4cm = 16 square centimeters
There are 2 copies of Square B in the prism.
Total surface areaof all the copies of Squares B = 2 × area of one Square B
= 2 × 16
= 32 square centimeters
The total surface area of the prism = Total surface areaof all the copies of Rectangle A + Total surface areaof all the copies of Squares B
= 128 square centimeters + 32 square centimeters
= 160 square centimeters
