Given:
Measure of a cube = 1 unit on each side.
Dimensions of a space 2 units by 3 units by 4 units.
To find:
Number of cubes that can be fit into the given space.
Solution:
The volume of cube is:

Where, a is the side length of cube.


So, the volume of the cube is 1 cubic units.
The volume of the cuboid is:

Where, l is length, w is width and h is height.
Putting
, we get


So, the volume of the space is 24 cubic units.
We need to divide the volume of the space by the volume of the cube to find the number of cubes that can be fit into the given space.



Therefore, 24 cubes can be fit into the given space.
Answer:
5/36 or approximately 13.88...%
Step-by-step explanation:
First, we need to know the probability of rolling a 2 or 3. Because there are 6 sides, the probability is 2/6
Next, we have to find the probability of rolling an even number. With the numbers:
1, 2, 3, 4, 5, 6
1, 3, 5 are odd 2, 4, 6 are even
so, the probability of rolling an even number is 3/6
Finally, multiply the probabilities:
3/6*2/6=5/36
Answer:
5/36 or about 13.88%
*Hint: The formula for the lateral surface area of a right cone is LA= Πrs
All we have to do is plug in and solve.
LA= Π(3)(5)
LA = 15Π
LA = 47.1238898
The lateral surface area is around 48 inches.
Answer:-2.75
Step-by-step explanation: y+4=-4(x-5) y+4=-4x+5/4 y=-4x-2.75