Question

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?

Answer 1

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"`