Question

find the volume of the figure. show or explain your thinking. 1.10 answer: i can... decompose a figure into prisms or compose the figure into a full prism to determine the figures volume.

Explanation:

Step1: Assume volume of one small cube

Let the volume of each small cube be 1 cubic - unit.

Step2: Count the number of small cubes

Count the number of small cubes in the figure. Suppose there are \(n\) small cubes.

Step3: Calculate the volume of the figure

The volume \(V\) of the figure is equal to the number of small cubes times the volume of one small cube. So \(V = n\times1=n\) cubic - units.

Answer:

The volume of the figure is equal to the number of small cubes in the figure (in cubic - units, assuming each small cube has a volume of 1 cubic - unit). Since the figure is not clear enough to count the exact number of small cubes, the general method is as above.