Answer:
The surface area of the rectangular prism is 166 square feet.
Step-by-step explanation:
To find the surface area of a rectangular prism, we need to calculate the area of each of its six faces and then sum them up.
Given the dimensions of the rectangular prism:
Length = 7 ft
Width = 5 ft
Height = 4 ft
Let's calculate the surface area:
Front and back faces (which are identical):
Area = Length * Height
= 7 ft * 4 ft
= 28 square feet (each face)
Top and bottom faces (which are identical):
Area = Width * Length
= 5 ft * 7 ft
= 35 square feet (each face)
Left and right side faces (which are identical):
Area = Width * Height
= 5 ft * 4 ft
= 20 square feet (each face)
Now, sum up the areas of all six faces to find the total surface area:
Total Surface Area = 2 * (Front and back faces) + 2 * (Top and bottom faces) + 2 * (Left and right side faces)
= 2 * (28 sq ft) + 2 * (35 sq ft) + 2 * (20 sq ft)
= 56 sq ft + 70 sq ft + 40 sq ft
= 166 square feet
