The volume of a cube is given by the formula V = a³, where a is the length of one side of the cube.

Given that the volume V is 216 cm³, we can solve for a by taking the cube root of both sides of the equation:

a = ∛V
a = ∛216 cm³
a = 6 cm

The cross-sectional area of a cube is simply the area of one of its faces, which is given by the formula A = a².

So, the cross-sectional area A is:

A = a²
A = (6 cm)²
A = 36 cm²

So, the cross-sectional area of the cube is 36 cm².

Question

The volume of a cube is given by the formula V = a³, where a is the length of one side of the cube.

Given that the volume V is 216 cm³, we can solve for a by taking the cube root of both sides of the equation:

a = ∛V
a = ∛216 cm³
a = 6 cm

The cross-sectional area of a cube is simply the area of one of its faces, which is given by the formula A = a².

So, the cross-sectional area A is:

A = a²
A = (6 cm)²
A = 36 cm²

So, the cross-sectional area of the cube is 36 cm².

Knowee AI · Accepted Answer

The volume of a cube is given by the formula V = a³, where a is the length of one side of the cube.

Given that the volume V is 216 cm³, we can solve for a by taking the cube root of both sides of the equation:

a = ∛V
a = ∛216 cm³
a = 6 cm

The cross-sectional area of a cube is simply the area of one of its faces, which is given by the formula A = a².

So, the cross-sectional area A is:

A = a²
A = (6 cm)²
A = 36 cm²

So, the cross-sectional area of the cube is 36 cm².

What is the cross-sectional area of a cube whose volume is 216cm2?