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Anni [7]
3 years ago
15

2. If you know the volume of a cube, how do you find its edge length? nel

Mathematics
1 answer:
MakcuM [25]3 years ago
3 0

\huge\boxed{\sqrt[3]{\text{V}}}

The volume of a cube is found by cubing the edge length — or multiplying it by itself twice.

In other words, the volume of a cube is as follows:

V=e*e*e

Simplified:

V=e^3

To find the edge length from the volume, you'd have to do the opposite, which is to find the cubic root.

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3 years ago
Find the volume of a right prism with height h=10 cm, if :
kozerog [31]

Answer:

Step-by-step explanation:

          So, to begin the altitude of a triangle is the line segment that starts at the top vertex and ends at the base of the triangle forming a right angle. If we want to find the volume of the of the prism the formula is Ab*h. This is the area of the base, times the height of the prism. This is true because a simple expination of volume is a box filled with stuff. To count how much stuff we have in the box the formula uses layers. Volume is just like a lot of 2 dimential areas stacked on top of each other. So taking the area of the flat base and puting it on top of it self 10 time will give you the same prism thats in the problem. Now we just have to apply the consept. Since the base is a triangle and we need to find the area. The formula is b*h*1/2. Base time height times 1/2. The reason for this is also simlar to area. A triangle is half of a square, so to find the area of a square the formula is L*W. Since a triangle is half of a square you just multipuly it by 1/2. When solved you will get 4*3.5*1/2=7, the area of the base is 7 cm^2. Now appling the topic above we stack the base 10 times, so 7*10=70. In conculstion the volume of the prism would be 70 cm^2.

6 0
3 years ago
What is the maximum number of relative extrema contained in the graph of this function f(x)=3x^3-x^2+4x-2
Sergeeva-Olga [200]
The maximum number of turning points in a cubic function is 2.

In this case,

f(x)=3x^3-x^2+4x-2\implies f'(x)=9x^2-2x+4

The discriminant is (-2)^2-4(9)(4)=-140, which means the derivative has no real roots. This means there are no critical points and thus no turning points/relative extrema.
5 0
3 years ago
Read 2 more answers
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