Respuesta :
The volume of a square pyramid is the length of the base squared times the height over three: (L^2*H/3)
So, when you plug in the numbers you get the length of the base square as 4 cm.
So, when you plug in the numbers you get the length of the base square as 4 cm.
Answer:
Length of the base of a square pyramid is 4 inches
Step-by-step explanation:
the volume is 48 cubic inches and has a height of 9 inches.
Volume of the square pyramid formula is [tex]\frac{a^2h}{3}[/tex]
Where 'a' is the length of the base of a square and h is the height of the pyramid
volume = 48 and height =9, plug in the values in the formula
Volume of the square pyramid= [tex]\frac{a^2h}{3}[/tex]
[tex]48=\frac{a^2 \cdot 9}{3}[/tex]
[tex]48=3a^2[/tex]
Divide both sides by 3
[tex]16=a^2[/tex]
Now take square root on both sides
[tex]a=4[/tex]
Length of the base of a square pyramid is 4 inches