Math Problem Statement
could you solve the sixth question please?
Solution
The text in the image is in Hebrew and contains a list of items under a question. Since you've asked about solving the sixth question, I'll extract and translate it first, then proceed with solving it if it's a math problem. Let me examine the image closely.
Translated Text of the Sixth Question: The sixth question reads:
This translates to: "The volume of a cube is 343 cubic centimeters. What is the length of the side of the cube?"
Solution:
To solve for the side length of a cube given its volume, we use the formula:
where:
- is the volume of the cube,
- is the side length.
Given , we solve for :
Finding the cube root of 343:
So, the side length of the cube is 7 cm.
Would you like more details or have any questions?
Follow-up Questions:
- What is the formula for the surface area of a cube?
- How would you find the diagonal length of the cube?
- What would be the side length if the volume was doubled?
- How does the volume of a cube change if the side length is doubled?
- Can the side length of a cube be a non-integer when the volume is an integer?
Tip:
To find the side length of a cube when given the volume, remember that you simply need to find the cube root of the volume.
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Math Problem Analysis
Mathematical Concepts
Geometry
Volume of Solids
Formulas
Volume of a Cube V = s^3
Theorems
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Suitable Grade Level
Grades 6-8