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Mazyrski [523]
2 years ago
13

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?
Mathematics
1 answer:
Archy [21]2 years ago
4 0

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

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