what is the volume of a rectangular prism with a width of 3 1/4%0D%0A3%0D%0A1%0D%0A4%0D%0A in., a length of 5 1/8%0D%0A5%0D%0A1%0D%0A8%0D%0A in., and a height of 7 3/8%0D%0A7%0D%0A3%0D%0A8%0D%0A in.? Your answer should be a mixed number in simplest form.

Answer 1

To find the volume of a rectangular prism, you multiply the length, width, and height.

Volume = Length x Width x Height

First, convert all the mixed numbers to improper fractions:

Width: 3 1/4 = 13/4
Length: 5 1/8 = 41/8
Height: 7 3/8 = 59/8

Now, plug in the values:

Volume = (41/8) x (13/4) x (59/8)
Volume = 31627/128 cubic inches

Now, simplify the fraction:

31627 ÷ 128 = 247 remainder 31

The mixed number in simplest form is:

247 31/128 cubic inches.