Answer:
The number of cubes that fill the prism is 24
Step-by-step explanation:
Given as :
The length of cube (l) = 
cm
The length of prism (L) = 1 cm
The width of prism (w) = 2 
= 
cm
The height of prism (h) = cm
Let the number of cubes that fill the prism = x
Now, Volume of cube with length (l) = l³ cm³
Or, Volume of cube with length (l) = 
cm³
Or, Volume of cube with length (l) = 
cm³
Again , Volume of prism = 
Or, Volume of prism = 
Or, Volume of prism = 
cm³
<u>So , The number of cubes to fill prism </u>
The number of cubes × Volume of cube = Volume of prism
Or, x × cm³ = cm³
or x = 
= 24
Hence The number of cubes which fill the prism is 24 Answer
Answer:
I am having a hard time reading the letters, so I hope this makes sense. I think that the numbers for the top triangles is given is 6 and 3. That means that the scale factor from the little to the big is 2 and from the big to the little is 1/2. It is the same for the bottom triangles.
Step-by-step explanation:
If the triangles are similar the scale factors will be the same for all three corresponding sides of the triangle. You find the two sides that are corresponding and ask yourself what do I have to multiple the side of of triangle to get the new triangle.
If one side is 3 and the other triangles side is 6. I am asking myself what do I have to multiple 3 by to get 6? 2. That is my scale factor.
3x = 6
x = 2
The scale factors are always reciprocals of each other. If I go the other direction I can write the equation
6x = 3 and when I divide both sides by 6, I get a scale factor of 1/2.
The bottom triangles:
2.5 x = 5
x = 2
and
5x = 2.5
x =1/2
Answer:
Option (C) n = 256
Therefore, there are 256 ways to select a car with 2 car models, 8 different colors and any combinations of 4 optional features.
Step-by-step explanation:
A new car is available in a sedan model and a hatchback model.
So that means customers can select the model of the car in,
n₁ = 2 ways
It is available in eight different colors.
After selecting the model, customers can select the color of the car in,
n₂ = 8 ways
Customers can choose to add any combination of four optional features.
After selecting the color, customers have the choice to add any combination of 4 optional features,
n₃ = 4² = 16 ways
Which means that there are 16 different ways to add 4 optional features e.g.
1. 0, 0, 0, 0
2. 0, 0, 0, 1
3. 0, 0, 1, 0
4. 0, 0, 1, 1
and the list goes on to 16 different ways.
Now the total ways to select a car is given by
n = n₁*n₂*n₃
n = 2*8*16
n = 256
Therefore, there are 256 ways to select a car with 2 car models, 8 different colors and any combinations of 4 optional features.
Answer: x = 1.50551927,2.68790604
Step-by-step explanation:
