Question

a room has dimensions of 10.0 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?
1.60 × 10³
59.3
178
533
none of the above
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Explanation:

Step1: Calculate volume in cubic - feet

The volume $V$ of a rectangular - shaped room with length $l = 10.0$ ft, width $w = 20.0$ ft, and height $h = 8.00$ ft is given by $V=l\times w\times h$.
$V = 10.0\times20.0\times8.00=1600$ ft³

Step2: Convert cubic - feet to cubic - yards

Since $1$ yard = $3$ feet, then $1$ yd³=(3 ft)×(3 ft)×(3 ft)=27 ft³.
To convert the volume from cubic - feet to cubic - yards, we divide the volume in cubic - feet by the number of cubic - feet in a cubic - yard. Let $V_{yd^3}$ be the volume in cubic - yards. Then $V_{yd^3}=\frac{V_{ft^3}}{27}$.
$V_{yd^3}=\frac{1600}{27}\approx59.3$ yd³

Answer:

59.3