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3 years ago

Carla packed this box with 1 centimeter cubes what is the volume of the box

Mathematics

1 answer:

shusha [124]3 years ago

4 0

Answer: $60\ cm^3$

Step-by-step explanation:

<h3> The complete exercise is attached.</h3>

You can observe in the picture attached that the box is a rectangular prism.

The volume of a rectangular prism can be found with this formula:

$V=lwh$

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

You know that the lenght of each side of those cubes is 1 centimeter. Therefore, you can multiply the number of cubes on each side of the box by 1 centimeter in order to find the lenght, the width and the height of the box:

$l=(4)(1\ cm)=4\ cm\\\\w=(3)(1\ cm)=3\ cm\\\\h=(5)(1\ cm)=5\ cm$

Now you can substitute the lenght, the width and the height of the box into the formula shown at the beginning of the explanation:

$V=(4\ cm)(3\ cm)(5\ cm)$

Finally, evaluating, you get that the volume of the box is:

$V=60\ cm^3$

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Tammy mixes the letters s, c, h, o, o, and l thoroughly. without looking, allen draws one letter. expressed as a fraction, decim

Kryger [21]

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The probability that Allen will not select a consonant is: (2/6 which simplifies to 1/3) because there are only 2 letters out of the 6 that are not consonants

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3 years ago

10 Points! Please help thanks!

cestrela7 [59]

Answer:

Area = 200x - x², Max area is 10000m² with dimensions 100m × 100m

Step-by-step explanation:

Total fencing = perimeter

Let length of the sides be x and y,

2(x + y) = 400

x + y = 200

y = 200 - x

Area = x × y

= x(200 - x)

Area = 200x - x²

For max area, convert area into the completed square form

-(x² - 200x)

-(x² -2(x)(100) + 100² - 100²)

-[(x - 100)² - 10000]

-(x - 100)² + 10000

Max area is 10000 m²

Because the least value of (x - 100)² is 0.

That too when x = 100

When x = 100,

y = 200 - x = 200 - 100 = 100

Dimensions are 100m × 100m

5 0

4 years ago

Order from least to greatest -2, 5, 1, 0, -3

Vedmedyk [2.9K]

Answer:-3,-2,0,1,5

Step-by-step explanation:

7 0

4 years ago

Read 2 more answers

Why is it necessary to use the absolute value of the difference when finding the distance on a number line, but not necessary wh

padilas [110]

Remember that the distance on a number line is given by the formula: $d=|x_{2}-x_{1}|$
where
$d$ is the distance between the points.
$x_{2}$ is the second point in the number line.
$x_{1}$ is the first point in the number line.
Now, suppose we are trying to find the distance between the points -1 and -5; our first point is -1, so $x_{1}=-1$ , and our second point is $-5$ , so $x_{2}=-5$ . Suppose we are going to find the distance between the two point without using absolute value:
$d=x_{2}-x_{1}$
$d=-5-(-1)$
$d=-5+1$
$d=-4$
Look what we have here, a negative distance! Since distances cannot be negative, we must use absolute value to always get postie distances between two point on a umber line:
$d=|x_{2}-x_{1}|$
$d=|-5-(-1)|$
$d=|-5+1|$
$d=|-4|$
$d=4$

Now, the distance between two coordinates on a plane is given by the formula: $d= \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$
$where$
$d$ is the distance between the two coordinates
$(x_{1},y_{2})$ are the coordinates of the first point
$(x_{2},y_{2})$ are the coordinates of the second point
Notice that $(x_{2}-x_{1})^2$ and $(y_{2}-y_{1})^2$ are squared, so it doesn't matter if we get a negative distance because a negative number raised to an even power (like 2) is always positive; therefore we don't need absolute value in this case because we won't ever get a negative distance.

7 0

3 years ago

Which of the following is the least cost for a television before taxes?

nika2105 [10]

Answer:

G is cheapest at $815.15

Step-by-step explanation:

F-cost is 915

g cost is 85% (100-15=85%) so .85 x 959=815.15

h 1000-100=900

j 925-20=905.

4 0

3 years ago