Hello!
We can first find the volumes
The ratio is 4:17
We can have one shape have all 4's and the other have all 17's
We can do it with a rectangular prism
The equation to find the volume of a rectangular prism is lwh
l is length
w is width
h is height
Put in the values
Shape 1
4 * 4 * 4 = 64
Shape 2
17 * 17 * 17 = 1734
The answer with these numbers is C so the answer is C
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Part 2
V = k x^3
A = c x^2
The larger shape - xb^3 = 1331/k
The smaller shape - xs^3 = 216/k
This can also be written as
(1331/216)^1/3 = 1.8333...
(1331^2/216^2)^1/3 = 3.361111
484/3.36111 = 144
The answer is C
Hope this helps!
Hi, I believe the last scenario best represents an impulse purchase :)
I think that all you have to do is multiply the two numbers to get your answer like the first one is 400x45.2=18,080.
I hope this helps
If we assume the hypotenuse is of side length 5:
a^2+b^2=c^2
3^2+b^2=5^2
9+b^2=25
b^2=16
b=4
If the hypotenuse is the unknown:
a^2+b^2=c^2
3^2+5^2=c^2
9+25=c^2
c^2=34
c=(34)^(1/2)