14. For a prism, the volume is given by
.. V = Bh . . . . . . . . where B is the area of the base, and h is the height of the prism
For a pyramid, the volume is given by
.. V = (1/3)*Bh . . . . where B is the area of the base, and h is the height of the pyramid
The volume is proportional to the area of the base. If the dimensions of the base decrease linearly to zero at the height of the geometry as they do for pyramids and cones, then the volume formula includes a factor of 1/3.
15b. The volume of a pyramid is 1/3 that of a prism with the same base area and height.
Answer:
Hope this Helped ;-;
Step-by-step explanation:
75 is the Answer but the closet is 70
10 feet is bigger than 3 yards I think not so positive
We know the perimeter formula would be 1200=2x+2y. And the area will be A=x*y
We can to take the derivative of the area formula to find where it is a max but we must first substitute something in from the first formula so we only have one variable.
1200-2x=2y
600-x=y
A=(x)*(600-x)
A=600x-x^2
Now we take the derivative:
A'=600-2x (set equal to 0 and solve)
0=600-2x
2x=600
x=300
Then when we plug this into the perimeter formula, we can solve for y
1200=2x+2y
1200=2(300)+2y
1200=600+2y
600=2y
y=300
So both the length and width are 300 yards, and the area would be 90,000 square yards
Hope this helps
