Using the formula V=B×h , what is the volume of a rectangular prism with a width of 3 1/4 in., a length of 5 1/8 in., and a height of 7 3/8 in.? Your answer should be a mixed number in simplest form.
First, convert all the measurements to improper fractions:
Width: 3 1/4 = 13/4 in.
Length: 5 1/8 = 41/8 in.
Height: 7 3/8 = 59/8 in.
Now, plug these values into the formula V=B×h:
V = (13/4) × (41/8) × (59/8)
V = (533/32) in^3
V = 16 21/32 in^3
Therefore, the volume of the rectangular prism is 16 21/32 cubic inches.
wronng
I apologize for the error in my previous response.
Let's calculate the correct volume using the formula V = B * h, where B is the area of the base of the prism and h is the height.
First, calculate the area of the base:
Area = length * width
Area = (5 1/8) * (3 1/4)
Area = (41/8) * (13/4)
Area = 533/32 in²
Now, multiply the base area by the height:
Volume = Area * height
Volume = (533/32) * (7 3/8)
Volume = (533/32) * (59/8)
Volume = 31347/256 in³
To simplify the mixed number, divide 31347 by 256:
31347 ÷ 256 = 122 with a remainder of 235
Therefore, the volume of the rectangular prism is 122 235/256 cubic inches.