Use 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?
To find the volume of the rectangular prism, we need to multiply the base area (length times width) by the height.
First, let's convert the given measurements to fractions:
Width = 3 1/4 in. = 13/4 in.
Length = 5 1/8 in. = 41/8 in.
Height = 7 3/8 in. = 59/8 in.
Now, we calculate the base area:
Base Area = Length * Width
Base Area = (41/8) * (13/4)
Base Area = 533/32 sq. in.
Now, we calculate the volume using the formula:
Volume = Base Area * Height
Volume = (533/32) * (59/8)
Volume = 31247/256 cubic inches
Therefore, the volume of the rectangular prism is 31247/256 cubic inches, which is approximately 122.27 cubic inches.