Answer:
Hi there!
The correct answer to this question is: The <u>side length</u> of the square base is 18 inches and the <u>height</u> of the pyramid is 9 inches.
Step-by-step explanation:
The equation to find the volume of a square pyramid is V= (b^2)(h/3)
we are given the volume to be 972 inches cubed, additionally we know that the base of the square is x inches, the height is x/2
then we plug in and we get 972= (x^2)(x/2/3)
then you simplify to 972 = x^3 / 6 then you multiply six on both sides and you get x^3 = 5832
cube root on both sides and you get x = 18 that means the base is 18 inches and the height is x/2 then you plug 18 in and you get the height to be 9 inches.
Density = Mass / Volume
(0.788) = (18.754) / V
0.788V = 18.754
V = (18.754) / (0.788)
V = 23.799
After solving we get y=0.24
Step-by-step explanation:
We need to solve the ratio: and find value of y
Solving:
Converting fractions into decimals
Ratio can be written as:
Now cross multiply
So, after solving we get y=0.24
Keywords: Ratio
Learn more about Ratios at:
#learnwithBrainly