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Calculate the volume of right rectangular prisms given their dimensions in cubes and convert to milliliters.

Mathematics

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Step-by-step solution

9 steps

Here are the answers to the problems:

  1. The right rectangular prism is made of 12 centimeter cubes.
  1. Count the number of cubes along the length, width, and height.

    Length = 3 cubes  
    Width = 2 cubes  
    Height = 2 cubes
    
  2. Multiply these dimensions to find the total number of cubes.

    Total cubes = 3 × 2 × 2 = 12 cubes  
    A container shaped like this right rectangular prism can hold exactly **12** mL of water.
    
  3. Convert cubic centimeters to milliliters.

    Since 1 cubic centimeter = 1 mL, 12 cubic centimeters = 12 mL.
    

    2. The right rectangular prism is made of 30 centimeter cubes.

  4. Count the number of cubes along the length, width, and height.

    Length = 5 cubes  
    Width = 2 cubes  
    Height = 3 cubes
    
  5. Multiply these dimensions to find the total number of cubes.

    Total cubes = 5 × 2 × 3 = 30 cubes  
    A container shaped like this right rectangular prism can hold exactly **30** mL of water.
    
  6. Convert cubic centimeters to milliliters.

    Since 1 cubic centimeter = 1 mL, 30 cubic centimeters = 30 mL.
    

    3. Riley's flower vase can hold 150 cubic centimeters of water.

  7. Identify the dimensions of the rectangular prism vase.

    Length = 5 cm  
    Width = 3 cm  
    Height = 10 cm
    
  8. Calculate the volume using the formula Volume = Length × Width × Height.

    Volume = 5 cm × 3 cm × 10 cm  
    Volume = 15 cm² × 10 cm  
    Volume = 150 cm³  
    **Riley's flower vase can hold **150** milliliters of water.**
    
  9. Convert cubic centimeters to milliliters.

    Since 1 cm³ = 1 mL, 150 cm³ = 150 mL.
    
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