PLEASE HELP
A cube is a solid figure with six faces. Each face is a square. The surface area of a cube is the total area of all faces of the cube. When I increase the side length of a certain cube by 4, the surface area increases by 576. What is the volume of the original cube?

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23-06-2021
Mathematics

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PLEASE HELP
A cube is a solid figure with six faces. Each face is a square. The surface area of a cube is the total area of all faces of the cube. When I increase the side length of a certain cube by 4, the surface area increases by 576. What is the volume of the original cube?

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chibunduoyibe chibunduoyibe · Answer 1 · 2021-06-23T16:25:21+02:00

chibunduoyibe chibunduoyibe

23-06-2021

Step-by-step explanation:

the answer is in the image above

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saimaparvezVT saimaparvezVT · Answer 2 · 2022-07-31T13:46:34+02:00

The volume of the original cube is 1000 cubic units.

What is volume of cube?

The volume of a cube is equal to the product of length, width and height of a cube.

Let the length of side of the original cube = L

The surface area of the original cube A₁ = 6 L²

When increase the side length of a certain cube by 4

The surface area of the increased cube A₂ = 6 (L + 4)²

The surface area increases by 576

So, 6(L + 4)² - 6 L² = 576

6(L² + 16 + 8L) - 6 L² = 576

Divided by 6 both the sides,

L² + 16 + 8L - L² = 96

16 + 8L = 96

8L = 96 - 16

8L = 80

L = 80/8

L = 10

So, the length of side of the original cube = L = 10 units

The volume of the original cube = L³

The volume of the original cube = (10)³

The volume of the original cube = 1000 cubic units

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PLEASE HELP A cube is a solid figure with six faces. Each face is a square. The surface area of a cube is the total area of all faces of the cube. When I increase the side length of a certain cube by 4, the surface area increases by 576. What is the volume of the original cube?

Respuesta :

What is volume of cube?

Otras preguntas

PLEASE HELP
A cube is a solid figure with six faces. Each face is a square. The surface area of a cube is the total area of all faces of the cube. When I increase the side length of a certain cube by 4, the surface area increases by 576. What is the volume of the original cube?