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What is the surface area of a cube with side length 9 cm?

The surface area of a cube with a side length of 9cm9 \, \text{cm} is 486cm2486 \, \text{cm}^2.

To calculate the surface area of a cube, you need to know the length of one of its sides. A cube consists of six identical faces, each shaped as a square. The area of a single square face can be determined by squaring the side length. In this case, with a side length of 9cm9 \, \text{cm}, the area of one face is calculated as:

9cm×9cm=81cm2.9 \, \text{cm} \times 9 \, \text{cm} = 81 \, \text{cm}^2.

Since a cube has six of these square faces, the total surface area is obtained by multiplying the area of one face by 66:

Surface Area=6×81cm2=486cm2.\text{Surface Area} = 6 \times 81 \, \text{cm}^2 = 486 \, \text{cm}^2.

This method is applicable to any cube, regardless of its side length. Remember the formula for surface area:

Surface Area=6×(side length)2.\text{Surface Area} = 6 \times (\text{side length})^2.

For a side length of 9cm9 \, \text{cm}, substituting into the formula yields:

6×92=6×81=486cm2.6 \times 9^2 = 6 \times 81 = 486 \, \text{cm}^2.

This straightforward calculation is fundamental for understanding how to work with three-dimensional shapes in geometry.

Answered by: Prof. Michael Lewis
IB Physics Tutor
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