Math Problem Statement

What is the surface area of a cube with a side length of 4 cm?

Solution

The image you uploaded shows a problem related to finding the surface area of a cube. The problem asks for the surface area of a cube with a side length of 4 cm.

Solution:

The surface area AA of a cube is calculated using the formula:

A=6×s2A = 6 \times s^2

where ss is the side length of the cube.

Given:

  • Side length s=4s = 4 cm

Substitute the value into the formula:

A=6×(4)2=6×16=96 cm2A = 6 \times (4)^2 = 6 \times 16 = 96 \text{ cm}^2

Answer:

The surface area of the cube is 96 cm².

Would you like more details on how this formula is derived or have any other questions?

Related Questions:

  1. What is the volume of the same cube?
  2. If the side length of the cube is doubled, what will be the new surface area?
  3. How does the surface area change if only one side is doubled?
  4. Can you find the diagonal of the cube using the side length?
  5. What is the ratio of the surface area to the volume of this cube?

Tip:

Remember, the surface area formula for a cube is always 6s26s^2 because a cube has six faces, each of which is a square with area s2s^2.

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Math Problem Analysis

Mathematical Concepts

Geometry
Surface Area Calculation

Formulas

Surface area of a cube A = 6s^2

Theorems

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Suitable Grade Level

Grades 6-8