Questions: Calculate the volume of liquid in the tank sketched below. Give your answer in liters, and round to the nearest 0.1 L.

Calculate the volume of liquid in the tank sketched below. Give your answer in liters, and round to the nearest 0.1 L.
Transcript text: Calculate the volume of liquid in the tank sketched below. Give your answer in liters, and round to the nearest 0.1 L.
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Solution

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Solution Steps

Step 1: Convert all dimensions to meters
  • The dimensions given are 9.6 cm, 12.7 cm, and 0.194 m.
  • Convert 9.6 cm to meters: \( 9.6 \, \text{cm} = 0.096 \, \text{m} \)
  • Convert 12.7 cm to meters: \( 12.7 \, \text{cm} = 0.127 \, \text{m} \)
Step 2: Calculate the volume in cubic meters
  • Use the formula for the volume of a rectangular prism: \( V = \text{length} \times \text{width} \times \text{height} \)
  • Substitute the dimensions: \( V = 0.194 \, \text{m} \times 0.096 \, \text{m} \times 0.127 \, \text{m} \)
  • Calculate the volume: \( V = 0.002359872 \, \text{m}^3 \)
Step 3: Convert the volume to liters
  • 1 cubic meter is equivalent to 1000 liters.
  • Convert the volume: \( 0.002359872 \, \text{m}^3 \times 1000 = 2.359872 \, \text{L} \)
Step 4: Round to the nearest 0.1 liter
  • Round 2.359872 liters to the nearest 0.1 liter: \( 2.4 \, \text{L} \)

Final Answer

The volume of the liquid in the tank is \( 2.4 \, \text{L} \).

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