The answer needs the volume of the original pyramid minus the small pyramid cut off.
Volume of pyramid = (area of base x height)/3
(12 x 6 x 14)/3 - (4 x 10 x 6)/3 = 256 m^3
The diagram is completely wrong so this problem is actually impossible to solve!
If you slice horizontally across a rectangular pyramid the ratios of the edges will remain constant.
The two rectangles are not the same shape! 12:6 is not the same ratio as 10:4
If the original pyramid in this question was sliced in half the top rectangle of the frustum would be 6 x 3.
In this diagram the height was reduced from 14m to 8m so the top 6m was removed.
If the base was 12 x 6 the top rectangle should be 6/14 smaller = 5.14m by 2.57m (not 10 x 4)
If you are brave you could point this out to your teacher
The answer would be B) 4 + (-6) = -2
Explanation:
Start with line a then b
you start at 4 go back 6 and end at -2
We need to multiply 3x-5y+2z by itself.
I break it down by each term. We'll first do 3x. It is positive.
3x(3x-5y+2z)
3x×3x=9x²
3x×-5y=-15xy
3x×2z=6xz
9x²-15xy+6xz
Now -5y.
-5y(3x-5y+2z)
-5y×3x=-15xy
-5y×-5y=25y²
-5y×2z=-10yz
25y²-15xy-10yz
Now 2z.
2z(3x-5y+2z)
2z×3x=6xz
2z×-5y=-10yz
2z×2z=4z²
4z²+6xz-10yz
Now we need to add all of them together.
(9x²-15xy+6xz)+(25y²-15xy-10yz)+(4z²+6xz-10yz)
We need to add like terms.
9x²+12xz+25y²-20yz+4z²-30xy
Now order them by degrees.
25y²+9x²+4z²+12xz-20yz-30xy is the cost.
Answer:
6
Step-by-step explanation:
from 3 to 1/2, you divide by 6. That means you have to divide 36 (the y) by 6, too. 36/6 is 6.
