Calculate the volume of the figure.
a. 15 cm^3
b. 33 cm^3
c.45 cm^3
d. 54 cm^3
don't worry it's not a test question. it's a study guide question. i have a quiz in a few days and i need : )

B. 33 cm³

Step-by-step explanation:

In the given figure,

A right square pyramid is placed on a face of cube so that their vertices coincide.

Since, the volume of the right square pyramid,

Where, a is the base edge of the pyramid and h is the height of the pyramid,

Here, The height of pyramid, h= 2 cm,

The base edge of the pyramid, a = 3 cm,

Thus, the volume of the pyramid,

Now, the volume of a cube = ( side )³

Here, the side of the cube = 3 cm,

⇒ The volume of the cube,

Hence, the total volume of the figure = Volume of pyramid + Volume of the cube