Question

calculate the volume of liquid in the tank sketched below. give your answer in liters, and round to the nearest 0.01 l. 5.1 cm 0.110 m 6.6 cm

Explanation:

Step1: Convert units to cm

The height is \(0.110\space m\). Since \(1\space m = 100\space cm\), we have \(0.110\times100 = 11.0\space cm\).

Step2: Calculate volume in \(cm^3\)

The tank is a rectangular prism, so volume \(V = l\times w\times h\). Here, \(l = 6.6\space cm\), \(w = 5.1\space cm\), \(h = 11.0\space cm\). So \(V=6.6\times5.1\times11.0\).
First, \(6.6\times5.1 = 33.66\). Then, \(33.66\times11.0 = 370.26\space cm^3\).

Step3: Convert \(cm^3\) to liters

Since \(1\space L = 1000\space cm^3\), we divide the volume in \(cm^3\) by \(1000\). So \(V=\frac{370.26}{1000}=0.37026\space L\).

Step4: Round to nearest 0.01 L

Rounding \(0.37026\) to the nearest hundredth (two decimal places), we look at the thousandths place which is \(0\). Since \(0\lt5\), we keep the hundredths place as is. So \(0.37\space L\).

Answer:

\(0.37\)