A trench is #40 1/2# ft. long, #8# ft. wide, and #15 3/4# ft. deep. How many cubic feet is the trench?

1 Answer
Jan 25, 2016

#V=5,103 ft.^3#

Explanation:

The formula for the volume of a rectangular prism is given by:

#V=a*b*c#, where #a# stands for the length, #b# for the width and #c# for the height of the prism.

With
#a=40.5 ft#
#b=8 ft.#
#c=15.75 ft.#

The volume is

#V=40.5*8*15.75# => # V=5,103 ft.^3#

Or, so as to drill fraction multiplication, we could do in this way:

#V=(81/cancel(2))cancel(8)(63/cancel(4))=81*1*63# => #V=5.103 ft.^3#