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?

1 Answer
May 21, 2017

Answer:

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

Explanation:

#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"#