Question

A pastry chef is making a batch of mini petit fours, which are little cakes, in the shape of cubes. To keep the nutritional value of each petit four consistent, the bakery manager wants each one to have a volume of 45cm3. What should the side length be, to the nearest hundredth, for each petit four? (Note: For volume of a cube, V=s3 where s=side length.)

Answer 1

3.56 cm

Explanation:

Cube is a 3D closed structure in which each adjacent side is perpendicular to each other and every side is equal to each other.

Let the side of cube be
`a` cm.

Please refer to attached image of cube for a clear look and feel of a cube with each side = a units.

Then, volume of cube is given by the formula:

`V = a^3`

Here, we are given that:

`V = 45\ cm^3`

`\Rightarrow a^3 = 45\ cm^3\\\Rightarrow a =\sqrt[3] {45}\\\Rightarrow a ={45}^(1)/(3)\\\Rightarrow a = 3.56\ cm`

So, the answer is, Side of each petit four is,
`a = 3.56\ cm`.