What is the surface area of a rectangular prism with a length of 8 ft, width of 10 ft, and height of 6 ft?
To find the surface area of a rectangular prism, you need to find the area of each face and then add them together.
The rectangular prism has 6 faces: 2 bases and 4 lateral faces.
The base of the prism is a rectangle with a length of 8 ft and a width of 10 ft. So, the area of each base is 8 ft * 10 ft = 80 ft².
The four lateral faces of the prism are all rectangles. Two of them have a length of 8 ft and a height of 6 ft, while the other two have a width of 10 ft and a height of 6 ft. So, the area of each of the four lateral faces is 8 ft * 6 ft = 48 ft² or 10 ft * 6 ft = 60 ft².
To find the total surface area, just add up the areas of all six faces: 2 * 80 ft² + 4 * 48 ft² = 160 ft² + 192 ft² = 352 ft².
Therefore, the surface area of the rectangular prism is 352 ft².
To find the surface area of a rectangular prism, you need to calculate the area of each of its six faces and then sum them up.
The formula for the surface area of a rectangular prism is:
Surface Area = 2(length × width + length × height + width × height)
Let's plug in the values given:
Length = 8 ft
Width = 10 ft
Height = 6 ft
Surface Area = 2(8 × 10 + 8 × 6 + 10 × 6)
Now, let's calculate each term:
8 × 10 = 80
8 × 6 = 48
10 × 6 = 60
Surface Area = 2(80 + 48 + 60)
Now, add up the three terms:
80 + 48 + 60 = 188
Finally, multiply the sum by 2:
Surface Area = 2 × 188 = 376 square feet
Therefore, the surface area of the given rectangular prism is 376 square feet.