Answer:
The volume of the larger rectangular prism is 
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
Let
z-----> the scale factor
x-----> the volume of the larger rectangular prism
y-----> the volume of the smaller rectangular prism
In this problem we have
---> the scale factor is equal to the ratio of its corresponding sides
substitute and solve for x
Warning: This might be rough...
First draw it out. Label the angles at the corners of the triangle 60 (definition of equilateral triangles). Now draw a line from the center of the circle to the corner, splitting the corner in half. Label this line R and a corner as 30 degrees. No to find the height of this triangle, you do rsin(30). The base of this triangle is 2rcos(30). Now find the area of this mini triangle (rsin(30)*2rcos(30)/2=r/2*rsqrt(3)/2=r^2sqrt(3)/4). Now multiply this by 3 because you have 3 mini triangles... to get...
<span>r^2 3sqrt(3)/4</span>
Elimination, Multiply the second equation by -1, then add the equations together.
Answer:
The answer is: both class have the same ratio.
Step-by-step explanation:
Get the ratio of tall to short. Divide Tall by Short:
Jack's class:
18/10 = 1.8 tall one for every short one
Michael's class:
54/30 = 1.8
The ratio is the same!
You can further prove this by multiplying 18 times 3 and getting 54, and 10 times 3 and getting 30.
Hope this Helps!! Have an Awesome Day!! (-:
