Find the surface area of a rectangular prism with a height of 3.1 cm, a length of 7.4 cm, and a width of 5 cm.
To find the surface area of a rectangular prism, we add up the areas of all of its faces.
The formula for the surface area of a rectangular prism is:
Surface Area = 2lw + 2lh + 2wh
Given:
Length (l) = 7.4 cm
Width (w) = 5 cm
Height (h) = 3.1 cm
Substitute the values into the formula:
Surface Area = 2(7.4 * 5) + 2(7.4 * 3.1) + 2(5 * 3.1)
Surface Area = 2(37) + 2(22.94) + 2(15.5)
Surface Area = 74 + 45.88 + 31
Surface Area = 150.88 cm²
Therefore, the surface area of the rectangular prism is 150.88 cm².