Question

Знайти об'єм куба,якщо площа його грані 144

Answer 1

1. Sгр. = а²  ⇒  ребро куба  а = √S = √144 = 12 (од.).
2. Vкуба = а³ = 12³ = 1728 (куб.од.)
АБО:
Vкуба = Sгр. * а = 144 * 12 = 1728 (куб.од.)

Answer 2

Finding the Volume of a Cube with a Given Surface Area

To find the volume of a cube when the surface area of one of its faces is given, we can use the formula:

V = (S^2) / 6

Where: - V is the volume of the cube - S is the length of one side of the cube

In this case, the surface area of one face of the cube is given as 144.

Let's calculate the volume step by step:

1. Find the length of one side of the cube: - We know that the surface area of one face is equal to the length of one side squared. - So, we can find the length of one side by taking the square root of the surface area. - In this case, the surface area is given as 144, so the length of one side is √144 = 12.

2. Calculate the volume using the formula: - Substitute the value of S into the formula: V = (12^2) / 6 = 144 / 6 = 24.

Therefore, the volume of the cube is 24 cubic units.

Please let me know if there's anything else I can help you with!