Math Problem Statement

Work out the volume of the water in the cuboid-shaped container below. Give your answer in millilitres (mL) and give any decimal answers to 1 d.p. (Hint: 1 mL = 1 cm³).

Solution

The image shows a cuboid-shaped container, and you are asked to find its volume in milliliters (mL).

The dimensions given are:

  • Length: 13 cm
  • Width: 9 cm
  • Height: 8 cm

The formula for the volume of a cuboid is: Volume=Length×Width×Height\text{Volume} = \text{Length} \times \text{Width} \times \text{Height}

Substituting the values: Volume=13cm×9cm×8cm\text{Volume} = 13 \, \text{cm} \times 9 \, \text{cm} \times 8 \, \text{cm} Volume=936cm3\text{Volume} = 936 \, \text{cm}^3

Since 1cm3=1mL1 \, \text{cm}^3 = 1 \, \text{mL}, the volume is also 936 mL.

So, the volume of the water in the container is 936 mL.

Let me know if you need any further explanation or have other questions!

Here are some related questions for further understanding:

  1. How do you calculate the volume of a cylinder?
  2. What is the difference between volume in cubic centimeters and milliliters?
  3. How do you convert between different units of volume (e.g., liters to milliliters)?
  4. How does the formula for the volume of a cuboid relate to the formula for the volume of a rectangular prism?
  5. What is the volume of the container if the height were doubled?

Tip: Always make sure to double-check your units! In this case, centimeters and milliliters are directly related, which makes the conversion simple.

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Math Problem Analysis

Mathematical Concepts

Volume Calculation
Unit Conversion

Formulas

Volume of a cuboid = Length × Width × Height

Theorems

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Suitable Grade Level

Grades 6-8