is in the formula V = B x H what is the volume of a rectangular prism with the width of 3 1/4 in. a length of 5 1/8 in. and a height of 7 3/8?

1 answer

To find the volume of the rectangular prism using the formula V = B x H, where B is the base area (length x width) and H is the height, we first need to calculate the base area.

Length = 5 1/8 in
Width = 3 1/4 in
Height = 7 3/8 in

Base Area = Length x Width
Base Area = (5 + 1/8) x (3 + 1/4)
Base Area = (41/8) x (13/4)
Base Area = 533/32 sq in

Now, we can calculate the volume:
Volume = Base Area x Height
Volume = (533/32) x (59/8)
Volume = 31307/256 cubic inches

Therefore, the volume of the rectangular prism is 31307/256 cubic inches.