Question

1. which statement describes the volume of the rectangular prism pictured below? a. the volume is 14 cubic units b. the volume is 16 cubic units c. the volume is greater than 16 cubic units d. the volume is less than 16 cubic units

Explanation:

Step1: Count unit - cubes on base layer

There are 8 unit - cubes on the base layer.

Step2: Observe height

The height of the prism is at least 2 (as there are 2 visible layers of unit - cubes).

Step3: Calculate minimum volume

The volume \(V\) of a rectangular prism is \(V = l\times w\times h\). Here, considering unit - cubes, if the base has 8 unit - cubes and height \(h\geq2\), then \(V\geq8\times2 = 16\). Since the prism is not fully filled with unit - cubes shown, we know there are more unit - cubes that would fill it completely, so the volume is greater than 16 cubic units.

Answer:

c. The volume is greater than 16 cubic units