Question

calculate the volume of liquid in the tank sketched below. give your answer in liters, and round to the nearest 0.1 l.

Explanation:

Step1: Convert length unit

First, convert the length of 0.156 m to cm. Since 1 m = 100 cm, then 0.156 m = 0.156×100 = 15.6 cm.

Step2: Calculate volume of rectangular - prism

The volume formula for a rectangular - prism is V = l×w×h, where l = 15.6 cm, w = 9.6 cm, and h = 7.6 cm. So V=15.6×9.6×7.6 = 15.6×72.96 = 1138.176 \(cm^{3}\).

Step3: Convert volume unit

Since 1 \(L\)=1000 \(cm^{3}\), then the volume in liters is \(V=\frac{1138.176}{1000}=1.138176\) L.

Step4: Round the result

Rounding 1.138176 L to the nearest 0.1 L gives 1.1 L.

Answer:

1.1 L