Math Problem Statement
Solution
The image shows a rectangular prism (or box) with a height of 2 cm and a base area of 20 cm².
To calculate the volume of this prism, you use the formula for the volume of a rectangular prism:
In this case:
- Base Area = 20 cm²
- Height = 2 cm
So, the volume of the box is:
Therefore, the volume of the box is 40 cm³.
Would you like more details or have any questions?
Here are 5 related questions to expand on this concept:
- How do you calculate the surface area of this rectangular prism?
- What would the volume be if the height were doubled?
- If the base area were increased by 50%, what would be the new volume?
- How do you calculate the dimensions of the base if only the area is known?
- What is the significance of the volume in practical applications?
Tip: Always make sure to use consistent units when performing calculations involving volume, area, and height!
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Math Problem Analysis
Mathematical Concepts
Geometry
Volume Calculation
Formulas
Volume = Base Area × Height
Theorems
Volume of a Rectangular Prism
Suitable Grade Level
Grades 6-8
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