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.? __ in.^3
To find the volume of the rectangular prism, we can use the formula V = B x h, where B is the area of the base and h is the height.
First, we need to find the area of the base. The area of a rectangle is given by the formula A = length x width.
Length = 5 1/8 in. = 41/8 in.
Width = 3 1/4 in. = 13/4 in.
A = (41/8) x (13/4)
A = (41 x 13) / (8 x 4)
A = 533 / 32
A = 16 21/32 in.^2
Now, we can find the volume using the formula V = B x h.
V = (16 21/32) x 7 3/8
V = (529/32) x (59/8)
V = (529 x 59) / (32 x 8)
V = 31211 / 256
V ≈ 122.04 in.^3
Therefore, the volume of the rectangular prism is approximately 122.04 in.^3.