Answer:
The surface area of the bench is 41 square feet.
To find the surface area of the bench, we need to find the area of each of the faces of the bench, and then add all of the areas together.
The bench has 6 faces:
2 top faces (each with dimensions 5 ft x 1.5 ft)
2 side faces (each with dimensions 2 ft x 1.5 ft)
2 front and back faces (each with dimensions 5 ft x 2 ft)
To find the area of each face, we simply multiply the length of the face by the width of the face.
The area of each top face is:
5 ft x 1.5 ft = 7.5 square feet
The area of each side face is:
2 ft x 1.5 ft = 3 square feet
The area of each front and back face is:
5 ft x 2 ft = 10 square feet
Now, we can add all of the areas together to find the total surface area of the bench:
2 top faces x 7.5 square feet/face + 2 side faces x 3 square feet/face + 2 front and back faces x 10 square feet/face =
15 square feet + 6 square feet + 20 square feet =
41 square feet