Question

Heidi is making a tower using sugar cubes. Each sugar cube has a side length of 1 cm. Each layer has 4 sugar cubes, arranged in a 2 by 2 pattern. The completed tower has a volume of 24 cm3. How many layers of sugar cubes are in the tower?

Answer 1

3 layers

Explanation:

Given

`L = 1cm` --- side length of the cube

Each layer = 2 * 2 cube

`Volume = 24cm^3`

Required

Determine the number of layers

First, we calculate the volume of each layer:

The length of the layer is:

`Length = 2 * L`

`Length = 2 * 1cm`

`Length = 2cm`

Next, we calculate the volume of each layer:

`Volume = Length^3`

`Volume = (2cm)^3`

`Volume = 8cm^3`

The number of layer is calculated by dividing the volume of the tower by the volume of each layer

`Layers = (24cm^3)/(8cm^3)`

`Layers = 3`