Question

calculate the volume of liquid in the tank sketched below. give your answer in liters, and round to the nearest 0.01 l. 0.185 m 12.6 cm 8.5 cm

Explanation:

Step1: Convert the height to cm

Since 1 m = 100 cm, then 0.185 m = 0.185×100 = 18.5 cm.

Step2: Use the volume formula for a rectangular - prism

The volume formula for a rectangular - prism is V = l×w×h, where l = 12.6 cm, w = 8.5 cm, and h = 18.5 cm. So V=12.6×8.5×18.5.
First, 12.6×8.5 = 107.1. Then 107.1×18.5 = 1971.35 \(cm^{3}\).

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

Since 1 L = 1000 \(cm^{3}\), then the volume in liters is \(V=\frac{1971.35}{1000}=1.97135\) L.

Step4: Round the answer

Rounding 1.97135 L to the nearest 0.01 L gives 1.97 L.

Answer:

1.97 L