math volume of cube and cuboid

• What is the formula for the volume of a cuboid?


  Volume = length × width × height
• How is the volume of a cuboid calculated?


  By multiplying the length, width, and height together
• If a cuboid has a length of 8 cm, width of 6 cm, and height of 5 cm, what is its volume?


  240 cubic centimeters
• What are the units of volume?


  Cubic centimeters
• Why are volume units expressed in cubic measurements?


  Because volume is a measure of three-dimensional space
• What is a cube in relation to a cuboid?


  A cube is a special type of cuboid where all sides are equal
• How can the volume of a cube be expressed mathematically?

  Volume = length × length × length or length cubed
• If the length of the edges of a cube is 5 cm, what is its volume?


  125 cubic centimeters
• How do you find the length of a cuboid if you know its volume, width, and height?


  By rearranging the volume formula to length = volume / (width × height)
• Given a cuboid with a volume of 350 cubic centimeters, width of 5 cm, and height of 7 cm, what is its length?


  10 centimeters
• What is the process to find the length of a cuboid when given its volume, width, and height?


  • Write the volume formula: \( V = l \times w \times h \)
  • Rearrange to find length: \( l = \frac{V}{w \times h} \)
  • Substitute the known values and solve
• What are the steps to calculate the volume of a cuboid?


  1. Identify the length, width, and height.
  2. Use the formula: \( V = l \times w \times h \)
  3. Multiply the three dimensions together.
  4. Express the result in cubic units.
• What are the steps to calculate the volume of a cube?


  1. Identify the length of an edge.
  2. Use the formula: \( V = l^3 \)
  3. Multiply the length by itself three times.
  4. Express the result in cubic units.