Math Problem Statement
Solution
This worksheet focuses on finding the volume of cubes using the formula:
I'll calculate the volume for each cube in both parts A and B as required. Let's break it down:
Part A: Find the volume of the cubes.
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Side length: 1.7 in
Rounded to two decimal places:
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Side length: 4.8 ft
Rounded to two decimal places:
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Side length: 6.4 yd
Rounded to two decimal places:
Part B: Find the volume using the given side lengths.
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Side length: 2.3 in
Rounded to two decimal places:
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Side length: 7.2 yd
Rounded to two decimal places:
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Side length: 5.1 ft
Rounded to two decimal places:
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Side length: 3.5 in
Rounded to two decimal places:
Would you like detailed explanations for these calculations?
Here are some follow-up questions to expand your understanding:
- Why does the cube's volume formula involve cubing the side length?
- How would the calculations change if the side lengths were in different units (e.g., cm or meters)?
- Can you find the volume of a rectangular prism using a similar formula? How?
- What are some practical applications of calculating a cube's volume?
- How would rounding errors affect real-world applications of volume calculation?
Tip: Always double-check the units for side lengths and the resulting volume! Misinterpreted units can lead to incorrect results.
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Math Problem Analysis
Mathematical Concepts
Geometry
Volume of a Cube
Exponents
Formulas
Volume = side length^3
Theorems
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Suitable Grade Level
Grades 6-8