A water 2

A water tank is 2m long, 1.9m wide, and 964 mm deep. How much water will it hold? Answer in liters.

2nd question:
A tank that is 2.5 m long and 1.5m deep holds 6.75 cubic meters of water. What is its width?

Correct answer:

V₁ =  3606.2 l
z =  1.8 m

Step-by-step explanation:

$$\begin{gathered} a=2\text{m} \\ b=1.9\text{m} \\ c=949\text{mm}\to \text{m}=949:1000\text{m}=0.949\text{m} \\ V=a\cdot b\cdot c=2\cdot 1.9\cdot 0.949=3.6062{\text{m}}^3 \\ {V}_1=V\to \text{l}=V\cdot 1000\text{l}=3.6062\cdot 1000\text{l}=3606.2\text{l}=3606.2\text{l} \end{gathered}$$

$$\begin{gathered} x=2.5\text{m} \\ y=1.5\text{m} \\ {V}_2=6.75{\text{m}}^3 \\ {V}_2=x\cdot y\cdot z \\ z=\frac{V_2}{x\cdot y}=\frac{6.75}{2.5\cdot 1.5}=1.8\text{m} \end{gathered}$$

Try another example