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geniusboy [140]
3 years ago
6

What is the volume of the prism? --- m3

Mathematics
2 answers:
Pachacha [2.7K]3 years ago
7 0

Answer:

672

Step-by-step explanation:

Formula is length times width times height

14 x 8 = 112

112 x 6 = 672

vovikov84 [41]3 years ago
7 0

Answer:

Volume of the prism= 672m^3

Step-by-step explanation:

The given prism is in the shape of a cuboid whose length, breadth and height are given:

Length=14 m\\Breadth= 8 m\\Height=6 m

Volume of a cuboid= Length*Breadth*Height

                                = 14m*8m*6m\\\\=672m^3

So, the volume of the cuboid prism is 672m^3

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<img src="https://tex.z-dn.net/?f=12x%20%5E%7B2%7D%20%20%2B%204x%20%2B%2020" id="TexFormula1" title="12x ^{2} + 4x + 20" alt="1
Nesterboy [21]
<h3>Answer: </h3>

The GCF is 4

The polynomial factors to 4(3x^2+x+5)

==========================================================

Further explanation:

Ignore the x terms

We're looking for the GCF of 12, 4 and 20

Factor each to their prime factorization. It might help to do a factor tree, but this is optional.

  • 12 = 2*2*3
  • 4 = 2*2
  • 20 = 2*2*5

Each factorization involves "2*2", which means 2*2 = 4 is the GCF here.

We can then factor like so

12x^2 + 4x + 20\\\\4*3x^2 + 4*x + 4*5\\\\4(3x^2 + x + 5)

The distributive property pulls out that common 4. We can verify this by distributing the 4 back in, so we get the original expression back again.

The polynomial inside the parenthesis cannot be factored further. Proof of this can be found by looking at the roots and noticing that they aren't rational numbers (use the quadratic formula).

4 0
2 years ago
At a sport clubhouse the coach wants to rope off a rectangular area that is adjacent to the building. He uses the length of the
Furkat [3]

Answer:

w < 8 meters ( w must be greater than 0 because length cannot be 0)

Step-by-step explanation:

One side with building is 23 meters, the other opposite side also will be 23 meters (with rope).

Let width (remaining 2 sides) be "w", he has AT MOST 39 meters of rope, so we can write:

Rope Needed = 23 + 2w < 39

Simplifying:

23 + 2w < 39\\2w < 39 - 23\\2w < 16\\w < 8

The range of possible values of w is  w meters (of course w has to be greater than 0)

5 0
3 years ago
A board is 27 inches long. How long is the board in centimeters? Use the following conversion: 1 inch is 2.54 centimeters.
Elina [12.6K]

1 inch = 2.54 cm

 so multiply 27 by 2.54


27 x 2.54 = 68.58 cm long

6 0
3 years ago
What is the perimeter of PQR? Show your work.
xz_007 [3.2K]
I do not know how to show the working out but its 4+6+6
3 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP WITH NUMBER 7!!
Marizza181 [45]

Answer: The answer is F.

Step-by-step explanation:

1.) The first equation represents how the spiral notebook has 30 more pages than the the memo book, and how subtracting the memo book's pages would result with 30.

2.) The second equation represents how the total number of pages in 3 spiral notebooks plus 5 memo books would result in 810 total pages.

4 0
3 years ago
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