Math Problem Statement

Josue wraps a gift box in the shape of a cube. The figure below shows a net for the gift box.On the tactile printout of the following graphs, c is 5, point, 35.3 centimeters. 5.3 cm An image is shown. To download tactile, press SHIFT-CONTROL-U for UEB or SHIFT-CONTROL-E for Nemeth. How much wrapping paper did he use, in square centimeters?

Solution

To determine how much wrapping paper Josue used, we need to find the total surface area of the cube-shaped gift box. The net of a cube consists of six square faces, so we can calculate the surface area by finding the area of one square face and then multiplying by 6 (since there are 6 faces on a cube).

Steps to calculate the surface area:

  1. Find the area of one face:
    From the problem, it appears that each side of the square is 5.3 cm. The area AA of a square is calculated as: A=side2A = \text{side}^2 So, A=5.32=28.09cm2A = 5.3^2 = 28.09 \, \text{cm}^2

  2. Calculate the total surface area:
    Since the cube has 6 faces, the total surface area SS is: S=6×A=6×28.09=168.54cm2S = 6 \times A = 6 \times 28.09 = 168.54 \, \text{cm}^2

Therefore, the total amount of wrapping paper Josue used is 168.54 square centimeters.

Let me know if you need more details or have any other questions!


Here are some related questions that might be of interest:

  1. How would the surface area change if the side length of the cube was doubled?
  2. If Josue had a rectangular box instead of a cube, how would we calculate its surface area?
  3. How do we calculate the surface area of a cylinder compared to a cube?
  4. What happens to the volume of the cube if the side length is halved?
  5. What is the formula to find the surface area of any polyhedron?

Tip: To find the surface area of a cube, always remember the formula S=6×(side length)2S = 6 \times (\text{side length})^2.

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Math Problem Analysis

Mathematical Concepts

Surface Area
Cube
Geometry

Formulas

Surface Area of Cube = 6 × (side length)²

Theorems

Surface Area of a Cube

Suitable Grade Level

Grades 5-7