Math Problem Statement
Solution
I see you uploaded two images! Let’s start by solving the first question about the number line.
For the first image:
We are asked to find which point represents on the number line.
To solve this:
- Notice the numbers 2 and 3 on the number line.
- is between 2 and 3, so it will be closer to 3.
- We need to divide the space between 2 and 3 into four equal parts since we are working with .
- is three of those four equal parts.
Looking at the points on the number line:
- Point W is at 2.
- Point X is at 2.25 (which is ).
- Point Y is at 2.5 (which is ).
- Point Z is at 2.75 (which is ).
So, the correct answer is Z.
For the second image:
We are asked to find the surface area of the cube given its net.
- The net consists of 6 squares, and each square has a side length of 5 inches.
- To find the surface area, we need to calculate the area of one square and then multiply that by 6 (since there are 6 faces on a cube).
The area of one square is:
Since there are 6 faces:
Would you like further details on any of these problems, or do you have additional questions? Here are some related questions you might find helpful:
- How would you handle a fraction that’s not an easy common fraction like ?
- What are some other ways to represent fractions on number lines?
- How would the surface area calculation change if the cube’s sides were a different length?
- What is the importance of understanding net diagrams in geometry?
- Could you solve this problem if the figure was a rectangular prism instead of a cube?
Tip: Always try to simplify fractions or decimals to make them easier to work with, especially when placing them on a number line!
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Math Problem Analysis
Mathematical Concepts
Number Line
Fractions
Surface Area
Geometry
Formulas
Surface Area = 6 × side²
Theorems
Surface Area of a Cube
Suitable Grade Level
Grades 5-7