The volume inside a rectangular storage room is 2,079 cubic feet.The room is 3 feet high. Find the area of the floor?

1 Answer
Mar 7, 2018

See a solution process below:

Explanation:

The formula for the area of a rectangle is:

#A = l xx w#

The formula for the volume for a rectangular cube is:

#V = l xx w xx h#

We can substitute:

#2079"ft"^3# for #V#

#3"ft"# for #h#

#A# for #l xx w#

And then solve for #A# to find the area of the floor:

#V = l xx w xx h# becomes:

#2079"ft"^3 =A xx 3"ft"#

#(2079"ft"^3)/color(red)(3"ft") =(A xx 3"ft")/color(red)(3"ft")#

#(2079"ft"^(color(red)(cancel(color(black)(3)))2))/color(red)(3color(black)(cancel(color(red)("ft")))) =(A xx color(red)(cancel(color(black)(3"ft"))))/cancel(color(red)(3"ft"))#

#(2079"ft"^2)/color(red)(3) = A#

#693"ft"^2 = A#

#A = 693"ft"^2#

The floor is 693 square feet