SOLUTION: The volume of water in a bottle can be found using the formula V=A*l where A is the area of the base of the water bottle and l is the height of the prism. 1/ The area of the base

Question 1011105: The volume of water in a bottle can be found using the formula V=A*l where A is the area of the base of the water bottle and l is the height of the prism.
1/ The area of the base of the water bottle is 20cm^2. Suppose you pour 400 cm^3 of water into the bottle. How high up the side of the bottle will the water go?
2. For a constant volume, how does the height change as the area of the base increases?
3. How will the volume of the water bottle change if the height remains constant but the area of the base decreases?
4. Write a formula that expresses l as a function of V and A.

Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
formula is v = a * l
v = volume
a = area of the base
l = height

question 1:

how high up the side will the water go?

if the area of the base is 20 cm^2, then the formula becomes:

v = 20 * l

if the volume is 400 cm^3, then the formula becomes:

400 = 20 * l

solve for l to get l = 400 / 20 = 20 cm.

that's how high up the side of the bottle that the water will go.

question 2:

for a constant volume, how does the height change as the area of the base increases?

the formula is v = a * l

solve for l to get l = v/a

if the volume remains constant and the area of the base increases, the height will decrease.

question 3:

how will the volume of the water bottle change if the height remains constant but the area of the base decreases?

the formula is v = a * l

if the height remains constant and the area of the base decreases, the volume will decrease.

problem 4:

write a formula that expresses l as a function of V and A.

the formula is v = a * l

divide both sides of the formula by a and you get l = v / a

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