Answer:
23 matches
Step-by-step explanation:
If the 5th grade team wins 2/5 matches, thats equal to 8/20, and 4th graders win 15/20, so together they win 23 matches out of 40
We know that
[volume of a prism]=L*W*H
L=3 1/2 in-------> (3*2+1)/2--------> 7/2 in
W=3 1/2 in-------> (3*2+1)/2--------> 7/2 in
H=7 in
so
[volume of a prism]=(7/2)*(7/2)*7--------> 85.75 in³
[the difference in volume between the prism and the storage container]=90-85.75------------> 4.25 in³ (4 1/4 in³)
the answer is 4.25 in³ (4 1/4 in³)
Why did the bike fall over?
Answer:
c)A cylinder with a volume of π(w³ +2w² )in³
where w represents the width of the cylinder.
Step-by-step explanation:
A cylinder with a volume of π(w³ +2w² )in³
where w represents the width of the cylinder.
The volume of a cylinder is given by V=Bh or V=πr²h
where B is the area of the base and h is the height of the cylinder.
V=πr²h-------equation1
V= π(w³ +2w² )--------- equation2
Comparing equation 1 and equation 2
πr²h=π(w³ +2w² )
r²h=(w³ +2w² )
r²h= w²(w +2 )
Taking w² common leaves w+2 which gives the height or length of the cylinder.
Therefore radius = width and height = length which gives the volume of the cylinder.