Question

a room has dimensions of 12.0 ft × 20.0 ft × 8.00 ft. given that there are three feet in a yard, what is the volume of the room in yd³?
1.80×10³
58.3
128
555
none of the above

Explanation:

Step1: Calculate volume in cubic - feet

The volume $V$ of a rectangular - shaped room with length $l = 12.0$ ft, width $w = 20.0$ ft, and height $h = 8.00$ ft is given by the formula $V=l\times w\times h$.
$V = 12.0\times20.0\times8.00=1920$ ft³

Step2: Convert cubic - feet to cubic - yards

Since 1 yard = 3 feet, 1 cubic - yard ($yd^3$)=(3 ft)×(3 ft)×(3 ft) = 27 ft³.
To convert the volume from cubic - feet to cubic - yards, we use the conversion factor $\frac{1\ yd^3}{27\ ft^3}$.
$V_{yd^3}=\frac{1920\ ft^3}{27\ ft^3/yd^3}\approx71.11$ yd³

Since 71.11 is not among the given options:

Answer:

E. none of the above