Question

the figure below is a net for a right rectangular prism. what is the surface area of the right rectangular prism, in square feet? answer attempt 1 out of 2 a = ft²

Explanation:

Step1: Identify the three pairs of faces

The three pairs of faces have dimensions: 11 ft×12 ft, 11 ft×15 ft, 12 ft×15 ft.

Step2: Calculate area of first - type face

The area of the face with dimensions 11 ft×12 ft is $A_1 = 11\times12=132$ square feet. Since there are 2 such faces, the total area of these two faces is $2\times132 = 264$ square feet.

Step3: Calculate area of second - type face

The area of the face with dimensions 11 ft×15 ft is $A_2=11\times15 = 165$ square feet. Since there are 2 such faces, the total area of these two faces is $2\times165=330$ square feet.

Step4: Calculate area of third - type face

The area of the face with dimensions 12 ft×15 ft is $A_3 = 12\times15=180$ square feet. Since there are 2 such faces, the total area of these two faces is $2\times180 = 360$ square feet.

Step5: Calculate total surface area

The total surface area $A$ of the rectangular prism is the sum of the areas of all six faces. So $A=264 + 330+360=954$ square feet.

Answer:

954