Answer:
The volume increases by a factor or 64. When the cube is dilated, each side length is increased by 4, so the volume is increased by 64.
Step-by-step explanation:
Let L represents the Length of the cube before it's dilated.
Volume, V1 = Length * Length * Length
Volume, V1 = L * L * L
Volume, V1 = L³
When the cube is dilated by a factor of 4.
The new Length becomes 4L.
The new volume is calculated as thus.
New Volume, V2 = 4L * 4L * 4L
New Volume, V2 = 64L³
Dividing the new volume by the old volume gives the increment factor.
Factor = New Volume ÷ Old Volume
Factor = V2/V1
Factor = 64L³/L³
Factor = 64.
Hence, when the sides of the cube is dilated by 4, the volume increases by a factor of 64.
Filling the gap of the given sentence;
"The volume increases by a factor or 64. When the cube is dilated, each side length is increased by 4, so the volume is increased by 64"
Answer:
-1
Step-by-step explanation:
Slope is calculated with the general equation 
where you compare the difference between two sets of data points on the slope.
I will use the points (-2, 0) and (0, -2).
This gives us -2/2 or a slope of -1
On Monday, she read 33 pages (33 out of 100). On Tuesday, she read 40 pages (4/10 is equivalent to 40/100). On Wednesday, she read 35 pages. In total, the book is 100 pages. 33+40+35=108 pages. You cannot read 108 pages if there are only 100, so the answer is no.
Answer: 12 Feet
Step-by-step explanation:
d = 2r = 2 x 6 =12
