413/HK17. problem / Math - Solved Math Problems

MR-413 / 9. problem

The 1 liter milk box of Bocitej Kft. Has the shape of a square rectangular column. The box is filled to the brim with milk.
How tall is the box if the base square is 7 cm? Explain your solution!

Source: Magyarország: Unified final exam for high schools - Mathematics - intermediate level [09.05.2017.] - 9..)

Algebra → Exponential equations and inequalities → Exponential equations

V = 1 l i t e r = 1000 c m^{3}

V = a \cdot b \cdot c

a = b = 7 c m

1000 = 7 \cdot 7 \cdot c

c = \frac{1000}{7 \cdot 7} = \frac{1000}{49}

c = 20, 4 c m

c = 20, 4 c m