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nadezda [96]
3 years ago
8

The volume of a box is 10,000cm^3. The base of the box is 25 cm and 10 cm. How tall is the box?

Mathematics
2 answers:
goldfiish [28.3K]3 years ago
6 0

Answer:

h = 40 cm

Step-by-step explanation:

the formula for the volume of a rectangular box of width w, height h and depth d is V = w·h·d (the order in which you write these doesn't matter).

We want to find out how tall this box is.  Thus, we solve V = w·h·d for h:

            V

h = -------------

          w·d

Here, h = vertical measurement of box = ( 10000 cm³) / [ (25 cm)(10 cm) ], or

h = 40 cm

Airida [17]3 years ago
4 0

Answer:

h(height)= 40cm

Step-by-step explanation:

V= h x w x l

(10000)= h x (25) (10)

h= (10000)/ ((25) (10))

h= (10000)/ ((250))  

h=40

You can verify if this is right by working the problem backwards.

V= (25) (10) (40)

V= 10, 000 cm^3

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We can use the arc length formula to solve this.

Arc length = \frac{q}{360}*2\pi r

Given arc length is 7 and radius is 5, we can plug in the values and solve for q.

7=\frac{q}{360}*2\pi (5)\\7=\frac{q}{360}*10\pi \\7=\frac{10\pi q}{360}\\7=\frac{\pi q}{36}\\7*36=\pi q\\252=\pi q\\q=\frac{252}{\pi}\\q=80.21


ANSWER:

We can use the equation 7=\frac{q}{360}*2\pi (5) to find the value of q. And, the value of q is 80.21°.


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Answer:

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------------------

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