Math Problem Statement

What is the volume of the container in liters?

Solution

To calculate the volume of the container in liters, we first find its volume in cubic centimeters and then convert it to liters.

Dimensions of the container:

  • Height = 120 cm
  • Width = 50 cm
  • Depth = 45 cm

Step 1: Calculate the volume in cubic centimeters

Volume=Height×Width×Depth\text{Volume} = \text{Height} \times \text{Width} \times \text{Depth} Volume=120cm×50cm×45cm\text{Volume} = 120 \, \text{cm} \times 50 \, \text{cm} \times 45 \, \text{cm}

Step 2: Conversion to liters

1 liter = 1000 cubic centimeters.

Let me calculate the result for you.The volume of the container is 270 liters.

Would you like a detailed breakdown of the calculations or have any other questions? Here are five related questions for further exploration:

  1. How can we calculate the surface area of the container?
  2. What would be the weight of the container if filled with water (considering the density of water)?
  3. How would the calculation change if the container had rounded edges?
  4. What is the typical usage for a 270-liter container?
  5. How can we calculate the volume for irregularly shaped containers?

Tip: Always ensure units are consistent when performing calculations involving volume or area.

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Math Problem Analysis

Mathematical Concepts

Volume Calculation
Unit Conversion

Formulas

Volume = Height × Width × Depth
1 liter = 1000 cubic centimeters

Theorems

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Suitable Grade Level

Grades 6-8