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Nikitich [7]
3 years ago
6

If the bases and heights of a prism and a pyramid are the same and the volume of the prism is 27 cubit units, what is the volume

of the pyramid? cubic units
Mathematics
2 answers:
horrorfan [7]3 years ago
7 0

Answer:

The volume of the pyramid is 9 cubic units.

Step-by-step explanation:

Given : If the bases and heights of a prism and a pyramid are the same and the volume of the prism is 27 cubit units.

To find : What is the volume of the pyramid?

Solution :

We know that,

If a pyramid and a prism have the same base and height then their volumes are always in the ratio of  1 : 3.

Which means the volume of pyramid is one-third of the volume of the prism.

i.e. V_P=\frac{1}{3}\times V_p

Volume of the prism V_p=27 \text{ unit}^3 (given)

The volume of pyramid is

V_P=\frac{1}{3}\times 27

V_P=9\text{ unit}^3

Therefore, The volume of the pyramid is 9 cubic units.

Luba_88 [7]3 years ago
4 0
You divide 27 with 3 I think, because when you need to know the pyramid's volume you do:
base x height / 3
And when you want to know the prism's it's just the base x height.
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A dog uses 30 lbs of dog food per day. How many pounds are used in a year?
Ludmilka [50]
To solve this we would do 30×365

We would do this because each day the dog 30lbs

So we have the equation y=30x
Where y= total amount of dog food
And x= number of days

In a year there are 365 days typically, so we do 30×365

30×365=10,950

In one year 10,950 lbs of dog food are used
6 0
4 years ago
ABC is not an acute triangle what is the first step of indirectly proving this statement
dmitriy555 [2]

Answer:

Assume ΔABC is an acute triangle.

Step-by-step explanation:

Given the triangle ABC.

We have to tell the first step of indirect proving ΔABC is not an acute triangle.

An indirect proof, also known a proof by contradiction. When we use indirect proof method, we assume the opposite of our theory to be true and then by applying our assumed theory we contradict the given statement which proves our supposition is wrong. In other words, we assume our theory is false.

Hence, our first step is to

Assume ΔABC is an acute triangle.

Third option is correct.

5 0
3 years ago
The endpoints of one side of a regular pentagon or -1, four and two, three what is the perimeter of the Pentagon
forsale [732]

Answer:

Step-by-step explanation:

(-1,4),(2,3)\\ \\ s^2=(-1-2)^2+(4-3)^2\\ \\ s^2=9+1\\ \\ s^2=10\\ \\ s=\sqrt{10}\\ \\ p=5s\\ \\ p=5\sqrt{10}\ exact\\ \\ p\approx 15.8

8 0
3 years ago
If arc EF = 151°, find mEDF.
user100 [1]
There is a theorem that says that this angle (formed by thre points on the circumference) is half such arc called EF.

We can deduct it as well.

1) Call O the center of the circle. The central angle (EOF) = arc EF = 151°

2) Draw a chord from F to D and other chord from D to E.

You have constructed two triangles, FOD and DOE.

3) Triangle FOD has two sides equals (because both are the radius of the circcle). Then, this is an isosceles triangle and it has two angles of the same measure. Call this measure a.

4) Triangle DOE is also isosceles, for the same reason explained in the poiint 3. Call the measure of its equal angles b.

5) The sum of the angles of the two triangles is 180° + 180 ° = 360°.

This is a + a + b + b + (360 - central angle) = 360°

=> 2a + 2b = central angle
=> 2(a+b) = cantral angle
=> (a+b) = central angle / 2 = 151° / 2 =71.5°

(a+b) is the angle that you are looking for.

Then the answer is 71.5°

 
4 0
4 years ago
Last one <br> Plz help me
melamori03 [73]

Answer:

9inch

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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