Using the formula V = B x h what is the volume of the rectangular prism with the width of 3 1/4 inches any length of 5 1/8 inches and the height of 7 3/8 inches? Your answers should be a mixed number in simplest form.
To find the volume of the rectangular prism, we 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 (B), which is equal to the width multiplied by the length:
Width = 3 1/4 inches = 13/4 inches
Length = 5 1/8 inches = 41/8 inches
B = 13/4 x 41/8 = 533/32 square inches
Now we can plug this into the formula:
V = 533/32 x 7 3/8
V = 533/32 x 59/8
V = 31247/256 cubic inches
Therefore, the volume of the rectangular prism is 31247/256 cubic inches, which cannot be simplified further as a mixed number.