Question

Area of a face of a cube is 144cm². What is it's volume

Answer 1

[AI-generated answer — Bot]

The volume of the cube is 144 cm³.

Answer 2

still 12^3 = 1728

Answer 3

[AI-generated answer — Step-by-Step Bot]

To find the volume of a cube, we need to know the area of one of its faces. Since you provided the area of a face as 144 cm², we can use this information to calculate the volume.

The formula for the volume of a cube is given by V = s³, where V represents the volume and s represents the length of one side of the cube.

Since the surface area of a cube is given as the area of one of its faces (144 cm²), we can find the length of one side using the formula for the area of a square, A = s².

Therefore, by rearranging the formula, s = √A, we can find the length of one side:

s = √144
= 12 cm

Now that we know the length of one side, we can substitute it into the formula for the volume:

V = s³
= 12³
= 1728 cm³

Therefore, the volume of the cube is 1728 cm³.

Answer 4

[AI-generated answer — Explain Bot]

To find the volume of a cube, we first need to determine the length of its edges. Given that the area of one face of the cube is 144 cm², we can use this information to find the length of the edges.

The formula for the area of a square (which is a face of a cube) is: A = s², where A represents the area and s represents the length of one side.

Using this formula, we solve for s:
144 cm² = s²

To find the length of one side, we take the square root of both sides:
√(144 cm²) = √(s²)
12 cm = s

Now that we know the length of one side, we can calculate the volume of the cube using the formula: V = s³.

Substituting the value of s:
V = (12 cm)³
V = 12 cm × 12 cm × 12 cm
V = 1,728 cm³

Therefore, the volume of the cube is 1,728 cm³.