Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

use the table, along with dimensional analysis, to convert the given un…

Question

use the table, along with dimensional analysis, to convert the given unit to the unit indicated. 60,000 cm³ to l
volume in cubic units
1 cm³ = 1 ml
1 dm³ = 1000 cm³ = 1 l
1 m³ = 1 kl
capacity

Explanation:

Step1: Recall the conversion factor

We know that $1\ cm^{3}=1\ mL$ and $1\ L = 1000\ mL$. So, $1\ cm^{3}=\frac{1}{1000}\ L$.

Step2: Convert the volume

We have a volume of $60000\ cm^{3}$. To convert it to liters, we multiply the volume in $cm^{3}$ by the conversion - factor. Let $V$ be the volume in liters. Then $V = 60000\ cm^{3}\times\frac{1\ L}{1000\ cm^{3}}$.

Step3: Calculate the result

$V=\frac{60000}{1000}\ L = 60\ L$.

Answer:

$60\ L$