Base x Height Quick Check
Apply the formula V = B x h. What is the volume of a rectangular prism with a height of 3 2/5 ft., a length of 6 1/8 ft., and a width of 7 1/4ft.? (1 point)
To find the volume of the rectangular prism, we can use the formula V = B x h, where B is the area of the base and h is the height.
First, we need to find the area of the base:
Area of base = length x width
Area of base = (6 1/8 ft) x (7 1/4 ft)
Convert mixed numbers to improper fractions:
Area of base = (49/8) ft x (29/4) ft
Area of base = 1421/32 ft^2
Now, we can find the volume:
V = (1421/32 ft^2) x (3 2/5 ft)
V = (1421/32 ft^2) x (17/5 ft)
V = 24257/160 ft^3
The volume of the rectangular prism is 24257/160 ft^3.