Cavalieri's Rule tells us that it doesn't matter if the shape is oblique or not, the volume is still found using the regular volume formula. For a pyramid, this formula is V = 1/3 Bh, with B being the area of the base which is a rectangle. The area is 10*12 which is 120, and the height is given as 8. So the volume is V = 1/3 * 120 * 8, which is 320 units cubed.
Answer:
x=-2
Step-by-step explanation:
(2/3)^x-1=27/8
Rewriting the right hand side
(2/3)^x-1=(3/2)^3
We know that a^-b = 1/a^b Hint: { 1/(3/2) = 2/3}
(2/3)^x-1=(2/3) ^-3
The bases are the same, so the exponents are the same
x-1 = -3
x -1+1 = -3+1
x = -2
72.5 + 5.5 = 78
78 - 8.25 = 69.75
Warmer means good up and colder means going down
Answer:
1 = n<9
2= m≤54
3= 266≤p
Step-by-step explanation:
Recall that the volume of a cube equals (side)^3. We can create an equation to model this.
1728 in^3 = (side)^3
We can get the cube root of both sides.
12 in = side
Each side is 12 inches long.
