What is the surface area of this right rectangular prism? Enter your answer in the box.
1 answer:
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The volume formula of a cone is 
the r is the radius and h is the height. However, if you multiply by pi, you will get an approximated volume of the cone. So we will multiply like this for now. 
Don't worry, we'll use pi in the end.
I'm going to assume that 7 inches is your radius. We need to plug in 7 for r and 4 in for h into the equation. Once we do that, it will look like this.
means we will need to divide one by 3. That gives us 0.33333... now we have to multiply by 
we get 16.33333... now the last thing we need to do is multiply by 4, which is h. We get 65.33333. Add pi and you have your answer. 
I'm going to assume that 7 inches is your radius. We need to plug in 7 for r and 4 in for h into the equation. Once we do that, it will look like this.
Answer:
Part a) You could build 5 copies of the flower pattern
Part b) You would have 40 red trapezoids left over
Step-by-step explanation:
The complete question in the attached figure
Part a)
Let
x -----> the number of yellow hexagons
y ----> the number of red trapezoids
z ----> the number of green triangles
we know that
The flower pattern has the following ratios
Find out how many copies of this flower pattern could you build if you had 30 yellow hexagons,50 red trapezoids, and 60 green triangles
1) For x=30
Divide 30 by 6 (remember that in one pattern there are 6 yellow hexagons)
Verify the quantity of y needed and the quantity of z needed
Find the value of y
10 < 50 ----> is ok
Find the value of z
45<60 --->is ok
2) For y=50
Divide 50 by 2 (remember that in one pattern there are 2 red trapezoids)
Verify the quantity of x needed and the quantity of z needed
Find the value of x
150 > 30 ----> is not ok
3) For z=60
Divide 60 by 9 (remember that in one pattern there are 9 green triangles)
60/9=6.7 copies
Round down
6 copies -----> 6(9)=54 green triangles
Verify the quantity of x needed and the quantity of y needed
Find the value of x
36> 30 --->is not ok
therefore
You could build 5 copies of the flower pattern
Part b)
we know that
x:y:z=6:2:9
If you build 5 copies
1) You would use 5*6=30 yellow hexagons and you would have 0 hexagons left over
2) You would use 5*2=10 red trapezoids and you would have (50-10=40) trapezoids left over
3) You would use 5*9=45 green triangles and you would have (60-45=15) triangles left over
therefore
You would have 40 red trapezoids left over
