Applying the formula V=B×h , what is the volume of a rectangular prism with a length of 11 1/5 in., a width of 9 1/2 in., and a height of 8 1/2 in.? Make it a mixed number
The volume of the rectangular prism is calculated by multiplying the length by the width and then by the height.
Given:
Length = 11 1/5 in. = 11 + 1/5 = 55/5 + 1/5 = 56/5 in.
Width = 9 1/2 in. = 9 + 1/2 = 18/2 + 1/2 = 19/2 in.
Height = 8 1/2 in. = 8 + 1/2 = 16/2 + 1/2 = 17/2 in.
Now, using the formula V = B x h:
V = (56/5) x (19/2) x (17/2)
V = (56 x 19 x 17) / (5 x 2 x 2)
V = (18928) / 20
V = 946.4 in³
Therefore, the volume of the rectangular prism is 946 2/5 in³.