Math Problem Statement
Count the cubes and write the volume of the rectangular prism.
Solution
To calculate the volume of the rectangular prism in the image, we need to count the total number of cubes within it.
Step-by-step process:
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Count the dimensions:
- The rectangular prism appears to have a structure of , meaning:
- Length: 3 units
- Width: 3 units
- Height: 4 units
- The rectangular prism appears to have a structure of , meaning:
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Calculate the volume:
- The volume of a rectangular prism is given by the formula:
- Using the dimensions:
Thus, the volume of the rectangular prism is 36 cubic units.
Would you like any further clarification or additional details?
Related questions:
- How would the volume change if the height were increased to 5 units?
- What is the formula for the surface area of this rectangular prism?
- How many total edges does this rectangular prism have?
- How many faces does a rectangular prism have, and how are they related to the volume?
- If each cube in the prism has a side length of 1 unit, what is the total surface area?
Tip:
When counting cubes in a 3D shape, visualizing layers or rows can help avoid miscounting, especially in complex structures.
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Math Problem Analysis
Mathematical Concepts
Geometry
Volume
Rectangular Prism
Formulas
Volume of a rectangular prism: V = Length × Width × Height
Theorems
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Suitable Grade Level
Grades 5-7