A jar, the volume of which is 630 cm 3 of water, which is seven tenths of the total volume of the jar.
A jar, the volume of which is 630 cm 3 of water, which is seven tenths of the total volume of the jar. Find the volume of water in the jar.
Let’s find the volume of a given jar by making and solving an equation with one unknown.
Let’s denote by v the volume of this jar.
In the condition of the problem it is said that 630 cm ^ 3 of water was poured into the jar and this volume of water is seven-ninths of the total volume of the jar, therefore, we can draw up the following equation:
(7/9) * x = 630.
We solve the resulting equation and find what the volume of this jar is equal to.
Multiplying both sides of the equation by the fraction 9/7, we get:
(9/7) * (7/9) * x = (9/7) * 630;
x = 9 * 630/7;
x = 9 * 90;
x = 810 cm ^ 3.
Answer: the volume of the can is 810 cm ^ 3.