Question

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

Explanation:

Step1: Convert height to cm

The height is given as \( 0.191 \, \text{m} \). Since \( 1 \, \text{m} = 100 \, \text{cm} \), we convert:
\( 0.191 \times 100 = 19.1 \, \text{cm} \)

Step2: Calculate volume in \( \text{cm}^3 \)

The tank is a rectangular prism, so volume \( V = l \times w \times h \).
Given \( l = 13.4 \, \text{cm} \), \( w = 9.8 \, \text{cm} \), \( h = 19.1 \, \text{cm} \):
\( V = 13.4 \times 9.8 \times 19.1 \)
First, \( 13.4 \times 9.8 = 131.32 \)
Then, \( 131.32 \times 19.1 = 2508.212 \, \text{cm}^3 \)

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

Since \( 1 \, \text{L} = 1000 \, \text{cm}^3 \), divide by 1000:
\( \frac{2508.212}{1000} = 2.508212 \, \text{L} \)

Step4: Round to nearest 0.1 L

\( 2.508212 \approx 2.5 \) (rounded to nearest 0.1)

Answer:

\( 2.5 \)