All categories

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:

$V=60\ cm^3$

You might be interested in

Plz solve the 7th question immediately ....Help me......

Lynna [10]

Answer:

The value of x is 8cm. The length of 3 sides are 8cm, 15cm and 17cm.

Step-by-step explanation:

Using Pythagoras' Theorem, a²+b² = c² :

Let a be x cm,

Let b be x+7 cm,

Let c be 2x+1 cm

x² + (x+7)² = (2x+1)²

x² + x² + 14x + 49 = 4x² + 4x + 1

2x² + 14x + 49 = 4x² + 4x + 1

Then, move all the variables to one side and solve it to find the value of x :

4x² + 4x + 1 - 2x² - 14x - 49 = 0

2x² - 10x - 48 = 0

2(x² - 5x - 24) = 0

x² - 5x - 24 = 0

(x-8)(x+3) = 0

x - 8 = 0

x = 8 cm

x + 3 = 0

x = -3 cm (rejected)

Substitute the x value into the length of a,b and c :

a = x

= 8 cm

b = x + 7

= 8 + 7

= 15 cm

c = 2x + 1

= 2(8) + 1

= 16 + 1

= 17 cm

3 0

4 years ago

NP is an angle bisector of <MNO. If <MNP = x + 23, and m<PNO = 3x - 1, find the value of x.

Neko [114]

The answer is: " 12 " .

_____________________________________________

→ " x = 12 " .

_____________________________________________

To solve:

________________________________________________________

3x - 1 = x + 23 ; Solve for "x" ;

Subtract "x" from each side of the equation; & add "1" to each side of the equation;

3x - 1 - x + 1 = x + 23 - x + 1 ;

to get:

2x = 24 ;

Divide each side of the equation by "2" ;

to isolate "x" on one side of the equation; & to solve for "x" ;

2x/2 = 24/2 ;

to get:

x = 12 .

_____________________________________________

Let us check our answer, by plugging in "12" for "x" ; on EACH side of the original equation; to see if the equation holds true; {that is, to see if each side of the original equation is equal, when "x = 12" } ; as follows:

______________________________________________

3x - 1 = x + 23 ;

Substitute "12" for "x" on each side ;

3(12) - 1 =? (12) + 23 ??

36 - 1 =? 35 ??

35 =? 35?? Yes!

_______________________________________________

5 0

4 years ago

Select ALL the correct answers. .

N76 [4]

Answer:

Translate figure A down 4 units and left 6 units, and dilate it by a scale factor of 3.

Step-by-step explanation:

is your answer

hope it helps you

6 0

2 years ago

twenty of the students in Hannah's class, or 80% of the class, voted to have pizza for lunch every Wednesday. How many students

Igoryamba

Answer:

There are 25 students in Hannah's class.

Step-by-step explanation:

If 20 students in Hannah's class is 80% of the total amount of students, we can use a variable to figure out the total amount of students.

Let's say x is the total amount of students. We can use this equation to solve the problem:

$20 = .8x$

This is saying 20 equals 80% (.8 when you move the decimal 2 times) of x, or the total amount of students. Let's solve.

20 = .8x

Divide by .8

25 = x

There are 25 students in Hannah's class.

6 0

4 years ago

At what elevation does the atomosphere become too thin to breath

prohojiy [21]

At around 20'000ft. and higher.

4 0

3 years ago