Question

what is the length of a cube whose volume is is 729 cm3

Answer 1

Answer:

Length of a side of a cube = 9cm

Step-by-step explanation:

Given,

The Volume of the cube is 729cm³

To find,

The length of the side of the cube

Recall the formula,

The volume of the cube = a³, where a is the side of the cube

Solution:

The volume of the cube = a³ = 729cm³

a³ = 729cm³

a = ∛729

a = 9

∴ Length of a side of a cube = 9cm

#SPJ2

Answer 2

As per the data given in the above question.

It is given that volume of a cube is $729\:cm^{3}$

We have to find the length of the cube.

To determine the length we can use the formula of volume,

I.e.$V=a^3$

Where a is the side of the cube.

Now substitute the value in above equation we get,

$729=a^3\\a=\sqrt[3]{729}$$a=\sqrt[3]{9 \times 9 \times 9}\\ a=9\: cm$

Hence the length of a cube is $9 \:cm$