The dimensions of a box are 1.0 foot by 279 mm by 5.5 in. What is the volume of the box in mL?

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Answer 1 · 2017-05-21T18:40:52

Answer: $V=11,900 " mL"$

$w=1.0 " ft"$
$l=279 " mm"$
$h=5.5 " in"$

Step 1. Find conversion factors for $"cm"$ .
- 1 foot = 30.48 cm
- 1 mm = 0.1 cm
- 1 inch = 2.54 cm

Step 2. Convert each side to $"cm"$
$w=1.0 cancel("ft")xx(30.48 " cm")/(1 cancel(" ft"))=30.48 " cm"$

$l=279 cancel("mm")xx(0.1 " cm")/(1 cancel(" mm"))=27.9 " cm"$

$h=5.5cancel("in")xx(2.54" cm")/(1cancel(" in"))=13.97 " cm"$

Step 3. Calculate volume as $V=wxxlxxh$
$V=(30.48" cm")xx(27.9" cm")xx(13.97" cm")=11,900" cm"^3$

Step 4. Convert to $" mL"=" cm"^3$
Answer: $V=11,900 " mL"$