Math Problem Statement
A container shaped as a rectangular prism can hold 840 wooden cube blocks with edge lengths of 12 ft.
What is the volume of the container?
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ft³
Solution
To find the volume of the container, we need to determine the total volume occupied by the 840 wooden cube blocks.
Step 1: Find the Volume of One Cube Block
Each wooden cube has an edge length of 12 ft, so its volume is:
Step 2: Find the Volume of the Container
Since the container holds 840 of these cubes, the total volume is:
Final Answer:
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Here are five related questions:
- What is the surface area of one wooden cube?
- If the container is twice as tall, what would its new volume be?
- What are possible dimensions for the container if it is a rectangular prism?
- How many wooden cubes would fit if their edge length was 6 ft instead?
- If the cubes were stacked in layers, how many layers would there be?
Tip: When solving cube-related problems, always start with volume calculations before considering arrangement possibilities!
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Math Problem Analysis
Mathematical Concepts
Volume of Rectangular Prism
Volume of Cube
Multiplication
Formulas
Volume of Cube: V = side^3
Volume of Container: V = number of cubes × volume of one cube
Theorems
Basic Volume Formula for Rectangular Prisms
Suitable Grade Level
Grades 6-8
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