use a net to find the surface area of the prism. the surface area of the prism is cm². (simplify your answer.)

Explanation:

Step1: Identify the faces

A rectangular - prism has 6 faces. There are two faces with dimensions 11 cm×6.5 cm, two faces with dimensions 11 cm×28 cm, and two faces with dimensions 6.5 cm×28 cm.

Step2: Calculate area of 11×6.5 faces

The area of a rectangle is (A = l\times w). For the faces with (l = 11) cm and (w = 6.5) cm, the area of one such face is (A_1=11\times6.5 = 71.5) (cm^2), and the total area of two such faces is (2\times A_1=2\times71.5 = 143) (cm^2).

Step3: Calculate area of 11×28 faces

For the faces with (l = 11) cm and (w = 28) cm, the area of one such face is (A_2=11\times28 = 308) (cm^2), and the total area of two such faces is (2\times A_2=2\times308 = 616) (cm^2).

Step4: Calculate area of 6.5×28 faces

For the faces with (l = 6.5) cm and (w = 28) cm, the area of one such face is (A_3=6.5\times28 = 182) (cm^2), and the total area of two such faces is (2\times A_3=2\times182 = 364) (cm^2).

Step5: Calculate total surface - area

The total surface area (S) of the prism is (S=143 + 616+364). (S = 1123) (cm^2).

Answer:

1123