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3 years ago

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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2 years ago

1. The position of a particle moving along a coordinate axis is given by: s(t) = t^2 - 5t + 1. a) Find the speed of the particle

zimovet [89]

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3 years ago

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Step-by-step explanation:

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2 years ago

Read 2 more answers

(PLEASE HELP) Question is worth 30 points:) The following function represents the production cost F(x) In dollars for x numbers

soldi70 [24.7K]

Answer:

production cost f(x), in dollars, for x number of units produced by company 1:

f(x) = 0.05x^2 − 7x + 300

2) Table that represents the production cost g(x), in dollars, for x number of units produced by company 2:

x g(x)

0.6 899.58

0.8 899.52

1 899.50

1.2 899.52

1.4 899.58

3) Comparison: do a table for f(x) with the same x-values of the table for g(x).

x f(x) = 0.05x^2 − 7x + 300 g(x)

0.6 295.818 899.58

0.8 294.432 899.52

1 293.05 899.50

1.2 291.672 899.52

1.4 290.298 899.58

As you can see the values of f(x) are consistently lower than the values of g(x) for the same x-values.

The minimum production cost for company 2 is around 899.50 at x = 1, while the minimum production cost of company 1 is defintely lower (lower than 292.298 for sure, in fact if you find the vertex it is 55).

Answer: Based on the given information, the minimum production cost for company 2 is greater.

Step-by-step explanation:

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3 years ago