Question

The volume of a cube shaped crate is 27 cubic feet. What is the length of one edge of the crate.

Answer 1

• The length of the one edge of the cubic crate is 3 feet.

Step-by-step explanation:

Given:

• The volume of a cubic shaped crate is 17 feet cube.

To find:

The length of the edge of the cubic crate.

Now,

It is a cube, so,

• The formula to find the volume of a cube is = (Edge)³ unit cube.

⇒ (Edge)³ = 27

⇒ Edge = ∛27

⇒ Edge = 3

[As 27 = 3 * 3 * 3 = 3³ ]

Hence,

The length of each edge of the cubic crate is 3 feet.

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• More Information:

Cube: It has six faces, with all equal edges

Total Surface Area (TSA) = 6a² units sq.

Curved Surface Area (CSA) = 4a² units sq.

[In which 'a' is the side/edge of the cube.]

• To find the area of one face of the cube, then = a² unit sq.

All the faces of the cube are same.

Answer 2

Given:

The volume of a cube  shaped crate is 27 cubic feet.

To find:

The length of the one  edge of the cubic crate.

Formula:

Volume of cube = $a^{3}$

Solution:

Let 'a' be the side of cube,

Volume of cube = $a^{3}$

27 = $a^{3}$

a = $\sqrt{27}$

a = 3

Sides/ Edges of a cube are equal.

So the length of every edge of the cube is 3.

Final answer:

The length of one edge of the crate is 3 ft .