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.(1 point) in.3
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, plug the values into the formula V = B x h:
V = (13/4) x (41/8) x (59/8)
V = (53/2) x (41/8)
V = (53 x 41) / (2 x 8)
V = 2173 / 16
V = 135 13/16
Therefore, the volume of the rectangular prism is 135 13/16 cubic inches.
Using the formula V=B×h , what is the volume of a rectangular prism with a length of 10 2/5 in., a width of 8 1/2 in., and a height of 6 1/4 in.? Your answer should be a mixed number in simplest form.
First, convert the mixed numbers to improper fractions:
Length: 10 2/5 = 52/5 inches
Width: 8 1/2 = 17/2 inches
Height: 6 1/4 = 25/4 inches
Now, plug the values into the formula V = B x h:
V = (52/5) x (17/2) x (25/4)
V = (52 x 17 x 25) / (5 x 2 x 4)
V = 44,200 / 40
V = 1,105
Therefore, the volume of the rectangular prism is 1,105 cubic inches.