Answer:
9 inches
Step-by-step explanation:
The volume of a pyramid is given as:
[tex]V = \frac{l* w*h}{3}[/tex]
where l = length of base of pyramid
w = width of base of pyramid
h = height of pyramid
The volume of the cylinder is already known ( [tex]105 in^3[/tex] ) and the other two dimensions are known as 5 in and 7 in.
From the formula of the volume of the pyramid, the height of the pyramid is given as:
[tex]h = \frac{3V}{l*h}[/tex]
Hence, the height of the pyramid is:
[tex]h = \frac{3 * 105}{5 * 7}\\ \\h = \frac{315}{35} = 9in[/tex]
The pyramid's height is 9 inches.
Answer:
Sample Response: Substitute the area of the base and the volume into the formula V = 1
3
Bh. After substituting, you have 105 = 1
3
(35)h. Solve for h by multiplying both sides by 3 and then dividing both sides by 35. The height is 9 inches.
Step-by-step explanation:
