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3 years ago

Find the total number of unit cube that fill the entire prism

Mathematics

1 answer:

Nonamiya [84]3 years ago

3 0

Answer:

72 cubes

Step-by-step explanation:

Attached is the picture drawn (though not great one), showing 6 cube on length of prism, 3 cubes on width and 4 cubes on height of prism.

Given: Length of prism= 6

Width= 3

Height= 4

To know the number of cubes, which can fill the entire prism, we need to find volume of prism.

∴ Volume of prism= $length\times width\times height$

Volume of prism= $6\times 3\times 4= 72$

∴ 72 units of cube can fill the entire prism.

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3 years ago

State which theorem you can use to show that the quadrilateral is a parallelogram.

tekilochka [14]

Answer:

If one pair of opposite sides in a four sided figure are both opposite and parallel, then the figure is a parallelogram.

Step-by-step explanation:

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3 years ago

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earnstyle [38]

The diagram is of a right triangle with

Hypotenuse = 233

One leg of the triangle = 105

Another Leg = we have to find

Pythagorean Theorem can be written as:

$\text{Leg}^2+\text{AnotherLeg}^2=\text{Hypotenuse}^2$

Thus, we can write:

$\begin{gathered} 105^2+\text{AnotherLeg}^2=233^2 \\ \text{AnotherLeg}^2=233^2-105^2 \\ \text{AnotherLeg}^2=43264 \\ \text{AnotherLeg}=\sqrt[]{43264} \\ \text{AnotherLeg}=208\text{ ft} \end{gathered}$

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1 year ago

Two numbers total 32 and have a difference of 10 what are the two numbers

Vlada [557]

Answer:

21 & 11

Step-by-step explanation:

Let x = first number and y = second number. We need to find the values of x and y, so we need to set up a system of linear equations. The first equation would be x + y = 32 because x and y add up to 32. Then the second equation would be x - y = 10 to represent that the two numbers have a difference of 10. Solving by elimination, we add and get 2x = 42, so x = 21. Then substitute 21 for x in either one of the equations to get y = 11.

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2 years ago

Just A and B really stuck pls help really appreciate it thx

sineoko [7]

Answer:

a) 5r +3 + 2(r+9) = 7r + 21

b) 2 (4w - 5) - 2 (w - 7) = 6w + 4

Step-by-step explanation:

a) 5r +3 + 2(r+9) = 5r +3 + 2r +18 = 7r + 21

b) 2 (4w - 5) - 2 (w - 7) = 8w -10 -2w +14 = 6w + 4

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3 years ago