Using the formula V=B x h what is the volume of a rectangular prism with a width of 3 1/4 inches a length of 5 1/8 inches and a height of 7 3/8 inches your answer should be a mixed number in simplest form
In
order to find the volume of the rectangular prism, we need to multiply the base area (length x width) by the height.
First, convert the mixed numbers to improper fractions:
Width = 3 1/4 = 13/4 inches
Length = 5 1/8 = 41/8 inches
Height = 7 3/8 = 59/8 inches
Now, calculate the base area:
Base area = length x width
Base area = (41/8) * (13/4)
Base area = 533 / 32 inches
Now, we can calculate the volume:
Volume = base area x height
Volume = (533/32) * (59/8)
Volume = 31347 / 256 inches^3
Convert the volume to a mixed number in simplest form:
31347 รท 256 = 122 with a remainder of 35
Therefore, the volume of the rectangular prism is 122 35/256 inches^3.