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• The surface area of a cube is 2cm² more than the surface area of a cuboid with length 5cm width 4cm and height 3cm. What is the side length of the cube?​

User Jaaronfarr
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1 Answer

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Surface area of the cuboid = 2(5 x 4 + 5 x 3 + 4 x 3) = 2(20 + 15 + 12) = 94 cm²

Let's now represent the side length of the cube as s, then the surface area of the cube would be 6s². According to the problem, the surface area of the cube is 2cm² more than the surface area of the cuboid. Therefore, we can write an equation as:

6s² = 94 + 2

Simplifying the equation, we get:

6s² = 96

Dividing both sides by 6, we get:

s² = 16

Taking the square root of both sides, we get:

s = 4

Therefore, the side length of the cube is 4 cm.
User Thegrandchavez
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