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3 the rectangular prism below is made of unit cubes. part a complete th…

Question

3 the rectangular prism below is made of unit cubes. part a complete the sentence to describe the prism. write your answers in the blanks. there are _ layers and _ unit cubes in each layer. part b the volume of the prism is _ cubic units.

Explanation:

Step1: Count the layers

By observing the rectangular - prism, we can see there are 2 layers.

Step2: Count unit - cubes in a layer

In each layer, we count the unit - cubes. There are 6 unit - cubes along the length and 3 unit - cubes along the width. So, the number of unit - cubes in each layer is $6\times3 = 18$.

Step3: Calculate the volume

The volume of a rectangular prism made of unit - cubes is the product of the number of layers and the number of unit - cubes in each layer. So, the volume $V=2\times18 = 36$ cubic units.

Answer:

Part A: There are 2 layers and 18 unit cubes in each layer.
Part B: The volume of the prism is 36 cubic units.