Math Problem Statement
Solution
The image contains a composite figure consisting of two rectangular prisms stacked on top of each other. The dimensions for the two prisms are given as follows:
- The bottom prism has dimensions .
- The top prism has dimensions .
To find the total volume of the figure:
-
Volume of the bottom prism:
-
Volume of the top prism:
-
Total volume of the figure:
So, the total volume of the figure is 440 cubic centimeters.
Would you like further details or have any questions?
Here are 5 related questions for further practice:
- How would the volume change if the height of the top prism were doubled?
- Can you calculate the surface area of the composite figure?
- How would you calculate the volume if the dimensions were given in meters?
- If the bottom prism had a different shape, how would that affect the total volume?
- What is the total volume if the two prisms were arranged side by side instead of stacked?
Tip: To find the volume of composite shapes, always break them down into simpler shapes (like prisms or cylinders) and sum up their individual volumes!
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Math Problem Analysis
Mathematical Concepts
Volume of Rectangular Prisms
Composite Figures
Formulas
Volume of a rectangular prism = length × width × height
Theorems
-
Suitable Grade Level
Grades 5-7
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