Using shells, the volume is
where
is the distance from any point in the region along the x-axis to the axis of revolution
, which makes up the radius of each shell; and
is the height of each shell, which is determined by the line
.
So the volume is
Edge length of the side of a cube = 5 inches
Then
Volume of the cube = (side)^3
= (5)^3
= 125 inches ^3
So the volume of the actual cube is 125 inches^3
Now after the side lengths are triple, then
New edge length of each side = 3 * 5 inches
= 15 inches
Then
New volume of the cube = (New side)^3
= (15)^3
= 3375 inches^3
Then the volume of the new cube is 3375 inches^3
So
The number of times the volume of the new cube is greater = 3375/125
= 27
<span>So the volume of the new cube is 27 times greater than the old cube.</span>
Answer:
Step-by-step explanation: 6
1
3
B is the most correct, then A. C and D is wrong cuz, complementary is sum of 90 degrees and there is no opposite sides are congruent