Study the rectangular prism and its net shown here.
Then complete the statements to find the surface area of the prism.

Study the rectangular prism and its net shown here Then complete the statements to find the surface area of the prism class=


Answer :

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