Math Problem Statement

could you solve the sixth question please?

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:

נפחקובייההוא343סמ"ק.מהאורכושלצלעהקובייה?נפח קובייה הוא 343 סמ"ק. מה אורכו של צלע הקובייה?

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:

V=s3V = s^3

where:

  • VV is the volume of the cube,
  • ss is the side length.

Given V=343cm3V = 343 \, \text{cm}^3, we solve for ss:

s=3433s = \sqrt[3]{343}

Finding the cube root of 343:

s=7cms = 7 \, \text{cm}

So, the side length of the cube is 7 cm.


Would you like more details or have any questions?

Follow-up Questions:

  1. What is the formula for the surface area of a cube?
  2. How would you find the diagonal length of the cube?
  3. What would be the side length if the volume was doubled?
  4. How does the volume of a cube change if the side length is doubled?
  5. 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