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

Answer:

3 layers

Step-by-step 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

$Layers = \frac{24cm^3}{8cm^3}$

$Layers = 3$