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-Dominant- [34]
3 years ago
15

A rectangular container is 25 cm long and 20 cm wide. If it holds 1 liter of water when full, what is its height?

Mathematics
2 answers:
snow_tiger [21]3 years ago
6 0

Answer: 2\ cm

Step-by-step explanation:

The volume of a rectangular prism can be calculated with the following formula:

V=lwh

Where "l" is the lenght, "w" is the width and "h" is the height.

You know that the lenght of this rectangular container is 25 centimeters and its width is 20 centimeters. Then:

l=25\ cm\\\\w=20\ cm

If it holds 1 liter of water when full, then its volume is:

V=1\ L

Since:

1\ L=1,000\ cm^3

The volume of the container in cubic centimeters is:

V=1,000\ cm^3

Now, in order to find the height of the container, you need to solve for "h" from the formula:

h=\frac{V}{lw}

Substituting values, you get that its height is:

h=\frac{1,000\ cm^3}{(25\ cm)(20\ cm)}\\\\h=2\ cm

slava [35]3 years ago
5 0

Answer:

2 cm

Step-by-step explanation:

Note that 1 litre = 1000 cm³

The volume (V) of a cuboid is calculated as

V = lbh ( l is length, b is width and h is height ), thus

V = 25 × 20 × h = 1000, that is

500h = 1000 ( divide both sides by 500 )

h = 2

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Step-by-step explanation:

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In this case, since 60.5 - 55 \neq 55 - 50, it has a common ratio.

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3 years ago
Sara and Paul are on opposite sides of a building that a telephone pole fell on. The pole is leaning away from Paul at
r-ruslan [8.4K]

Answer:

a) See figure attached

b) x = \frac{sin(124)}{sin(34)} 80.086 = 118.732 ft

c) h = 35 sin (59) = 30.0 ft

So then the heigth for the building is approximately 30 ft

Step-by-step explanation:

Part a

We can see the figure attached is a illustration for the problem on this case.

Part b

For this case we can use the sin law to find the value of r first like this:

\frac{sin(22)}{35 ft} =\frac{sin(59)}{r}

r= \frac{sin(59)}{sin(22)} 35 ft = 80.086ft

Then we can use the same law in order to find the valueof x liek this:

\frac{sin(124)}{x ft} =\frac{sin(34)}{80.086}

x = \frac{sin(124)}{sin(34)} 80.086 = 118.732 ft

And that represent the distance between Sara and Paul.

Part c

For this cas we are interested on the height h on the figure attached. We can use the sine indentity in order to find it.

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And if we solve for h we got:

h = 35 sin (59) = 30.0 ft

So then the heigth for the building is approximately 30 ft

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3 years ago
A line has a slope of -3 and includes the point (-5,4) and (-7,q). What is the value of q​
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Answer:

q = 10

Step-by-step explanation:

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2 years ago
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