answer quickly for brainliest!
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Answer:
[tex]B = 9 ft^{2}[/tex]
[tex]h = 5ft[/tex]
[tex]V = 15ft^{3}[/tex]
Step-by-step explanation:
We can first find h, which is the height of the pyramid, as it is given in the diagram. The height of the pyramid is how high or tall the pyramid is, which is 5 ft in this diagram.
So, h = 5 ft.
Next, we can calculate B, which is the area of the square base of the pyramid. Remember that the area is always squared. The base is a square, so the area of a square is:
A = [tex]s^{2}[/tex]
A is the area, and s is the side.
In this diagram, the sides of the square are 3 ft. So:
A = [tex]3^{2}[/tex]m
A = [tex]9[/tex] [tex]ft^{2}[/tex]
So, B = [tex]9[/tex] [tex]ft^{2}[/tex]
Finally, we will calculate the volume of the pyramid using the height and the base. Remember that volume is always cubed. The formula for calculating the volume of the pyramid is:
V = [tex]\frac{Bh}{3}[/tex]
Now, plug in the values:
V = [tex]\frac{(9)(5)}{3}[/tex]
V = [tex]\frac{45}{3}[/tex][tex]ft^{3}[/tex]
V = [tex]15[/tex] [tex]ft^{3}[/tex]