Answer: 147 cm³
Step-by-step explanation: To find the volume of a pyramid, we use the formula shown.
Volume = [tex]\frac{1}{3} Bh[/tex]
Let's start by finding the area of the base. Since the base is a rectangle, we can find the area of the base by multiplying the length by the width.
Area = (7 cm) (7cm)
Area = 49 cm².
Now, we know that "B" in the formula is equal to 49 cm². This means that we can plug 49 cm² into our formula.
Volume = [tex](\frac{1}{3}) (49 cm^{2}) (9 cm)[/tex]
Now, 49 cm² × 9 cm is equal to 441 cm³.
Volume = [tex](\frac{1}{3}) (441cm^{3})[/tex]
Volume = 147 cm³
Therefore, the volume of the square pyramid is 147 cm³.
