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

User CJlano
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Final answer:

The lateral surface area of a cube with side length 9 cm is 324 cm². It's calculated by multiplying the perimeter of one side (4 × 9 cm) by the side length (9 cm).

Step-by-step explanation:

The lateral surface area of a cube is calculated by multiplying the perimeter of one base by the cube's height. Since a cube has all sides of equal length, you can think of the height as just another side length. For a cube with a side length of 9 cm, the calculation is as follows:

Lateral Surface Area = Perimeter of the base × Height

Lateral Surface Area = 4 × side × side = 4 × 9 cm × 9 cm

Lateral Surface Area = 36 cm × 9 cm

Lateral Surface Area = 324 cm²

This is because there are four sides of the cube that make up the lateral surface area, and each side is a square. Therefore, the total lateral surface area is the sum of the areas of these four sides.

User Joaosavio
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6 votes

a=9cm\\\\surface\ area:A_S=6a^2\to A_S=6\cdot9^2=6\cdot81=486\ (cm^2)
User Child
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