Mathematics: Ireally need . if anyone could that would mean a lot.

Ireally need . if anyone could that would mean a lot.

nevarezchiu7972

24.03.2023

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,

$V=a^2\frac{h}{3}$

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,

$V_1=(3)^2\frac{2}{3}=\frac{18}{3}=6\text{ cube cm}$

Now, the volume of a cube = ( side )³

Here, the side of the cube = 3 cm,

⇒ The volume of the cube,

$V_2 = (3)^3 = 27\text{ cube cm}$

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

=V_1+V_2

=6+27

$=33\text{ cube cm}$

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