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
Length: 5 1/8 = 41/8
Height: 7 3/8 = 59/8
Now, plug these values into the formula for volume:
V = (13/4) * (41/8) * (59/8)
V = 13 * 41 * 59 / (4 * 8 * 8)
V = 36137 / 256
Now, simplify the fraction:
256 goes into 36137 141 times with a remainder of 241
So, the volume is 141 241/256 cubic inches.
try again
I apologize for the mistake. Let's try the calculation again.
Given:
Width = 3 1/4 = 13/4
Length = 5 1/8 = 41/8
Height = 7 3/8 = 59/8
Now, plug these values into the formula for volume:
V = (13/4) * (41/8) * (59/8)
V = (13 * 41 * 59) / (4 * 8 * 8)
V = (34187) / (256)
V = 1335 67/256 cubic inches
Therefore, the volume of the rectangular prism is 1335 67/256 cubic inches.
not even close
I apologize for the incorrect calculations earlier. Let's try again:
Given:
Width = 3 1/4 = 13/4
Length = 5 1/8 = 41/8
Height = 7 3/8 = 59/8
Now, plug these values into the formula for volume:
V = (13/4) * (41/8) * (59/8)
V = (13 * 41 * 59) / (4 * 8 * 8)
V = (31847) / (256)
V = 124.4453125 cubic inches
Therefore, the volume of the rectangular prism is 124.4453125 cubic inches.
DUDE NO LOL
I apologize for the mistakes I made earlier. Let's correct them and solve the problem correctly this time.
Given:
Width = 3 1/4 = 13/4 inches
Length = 5 1/8 = 41/8 inches
Height = 7 3/8 = 59/8 inches
Now, plug these values into the formula for volume:
V = (13/4) * (41/8) * (59/8)
V = (13 * 41 * 59) / (4 * 8 * 8)
V = (13 * 41 * 59) / 256
V = 31,787 / 256
Now, we can simplify this fraction. By dividing 31,787 by 256, we get:
31,787 ÷ 256 = 124 with a remainder of 139.
Therefore, the volume of the rectangular prism is 124 139/256 cubic inches.