Math Problem Statement

What is the surface area of a cube with side lengths of 7 yards?

Solution

The image shows a cube with side lengths of 7 yards, and the question asks for the surface area of the cube.

The formula for the surface area of a cube is:

Surface Area=6×s2\text{Surface Area} = 6 \times s^2

Where ss is the length of one side of the cube.

Given s=7s = 7 yards:

Surface Area=6×(72)=6×49=294square yards\text{Surface Area} = 6 \times (7^2) = 6 \times 49 = 294 \, \text{square yards}

So, the surface area of the cube is 294 square yards.

Would you like further details or have any questions?

Here are 5 related questions you can explore:

  1. What is the volume of this cube?
  2. How does the surface area change if the side length is doubled?
  3. What is the ratio of surface area to volume for this cube?
  4. How would the surface area formula change for a rectangular prism?
  5. Can you calculate the diagonal of one face of this cube?

Tip: When calculating surface area, always remember to include all faces in 3D shapes!

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Math Problem Analysis

Mathematical Concepts

Geometry
Surface Area

Formulas

Surface Area of a Cube = 6 * s^2

Theorems

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Suitable Grade Level

Grades 5-7