This was the answer I came up with - 3.5
The first thing you should do is calculate the volume of the prism.
We have then:
V = h * L ^ 2
Where,
L: side of the square base.
h: height.
Substituting we have:
V = (0.5) * (1) ^ 2 = 0.5 feet ^ 3.
Then, we can make the following rule of three:
1.5 feet ^ 3 ---> 6
0.5 feet ^ 3 ---> x
Clearing x we have:
x = (0.5 / 1.5) * (6) = 2 $
Answer:
it will cost Sara 2 $ to completely fill her planter with soil
X=1, y=-2--------------------------
So now its
but you want it in y=mx+b so
add x to both sides so that you have y on its own
so now it's
Problem 1
<h3>Answer:
104 cubic inches</h3>
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Explanation:
The prisms are similar so they have the same shape, but different sizes.
The linear scale factor from small to large is:
large/small = 10/4 = 2.5
Meaning that we multiply each dimension of the smaller prism by 2.5 to get the corresponding side length of the larger prism
4*2.5 = 10
This linear scale factor is then cubed to get the volume scale factor
(2.5)^3 = 15.625
Which tells us:
larger volume = 15.625*(smaller volume)
smaller volume = (larger volume)/15.625
smaller volume = (1625)/15.625
smaller volume = 104 cubic inches
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Problem 2
<h3>Answer: 650 square inches</h3>
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Explanation:
We will go back to the linear scale factor of 2.5
This time, we square it to get (2.5)^2 = 6.25
This is the surface area scale factor.
larger surface area = 6.25*(smaller surface area)
larger surface area = 6.25*(104)
larger surface area = 650 square inches
