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DIA [1.3K]
3 years ago
15

A triangular pyramid has the same base and height as a triangular prism. The volume of the prism is 66 cubic inches. What is the

volume of the triangular pyramid?
Mathematics
1 answer:
notka56 [123]3 years ago
5 0
The volume of the triangular prism is 66 cubic inches. 
In order for us to know the volume of the triangular pyramid, first we need to know the ratio of the volume of triangular prism and the volume of the triangular pyramid.

Volume of the pyramid = 1/3 * volume of the prism.
Volume of the pyramid = 1 / 3 * 66
<span>Volume of the pyramid = 22 cubic inches.
</span>
So the volume of the triangular pyramid is 22 cubic inches.
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Please help right away
andrew-mc [135]

Answer:

100

Step-by-step explanation:

Mixed candy question... Skittles jar... to be filled with Jelly beans.

Let's first calculate the volume of the jar.  We'll assume it's a regular cylindrical prism jar, unlike the one on the photo which is narrower on top.

V = π * r² * h = π * (3.5)² * 11.5 = 140.875 π = 442.6 cubic cm

Now, we don't have the precise measurement of a jelly bean, but we know it's roughly 2-3 cubic cm.  The precision isn't needed to answer this question, just to have a rough idea... it's no 300 cu cm per jelly bean.

So, let's assume a 3 cu cm per jelly bean (2 cu cm wouldn't the final answer)....

442.6 / 3 = 147.5 jelly beans, approximately.

So, can they fit 100,000?  No

Can we fit 10,000 in there?  No

Can we fit 100?  Yes.

Can we fit 1?  Certainly

The most reasonable lower-limit would then be 100.

4 0
3 years ago
In a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. if a=7 feet and b=7 feet, what i
V125BC [204]

The length of hypotenuse when the value of legs of a right angled triangle are 7 and 7 feet is 9.9 feet.

Given that a and b are legs and c is the hypotenuse. length of legs of a right angled triangle  are 7 feet and 7 feet.

We have to find the value of c in the right angled triangle.

In this we have to apply pythagoras theorem because it says tat the square of hypotenuse is equal to the sum of squares of base and perpendicular of that right angled triangle.

H^{2} =P^{2} +B^{2}

H=c

P=7 feet

B=7 feet.

Put the values in the above rule:

c^{2} =7^{2} +7^{2}

c^{2}=49+49

c^{2}=98

c=9.899

After rounding off to nearest tenth we will get c=9.9.

Hence the value of c is 9.9 which is the length of hypotenuse.

Learn more about pythagoras theorem at brainly.com/question/343682

#SPJ4

4 0
2 years ago
A sphere has radius of 42 m. If the radius is divided by 6, what is the effect on the surface area? HELP ASAP!
Tatiana [17]

A sphere with radius r has surface area 4\pi r^2. Divide the radius by 6 and you get a surface area of 4\pi\left(\dfrac r6\right)^2=\dfrac4{36}\pi r^2, so that the final surface area is divided by 36.

7 0
3 years ago
What is an equation of the line containing the points (-1,5) and (3,9)​
Lady bird [3.3K]

Answer:

  y = x+6

Step-by-step explanation:

You can find an equation by using the 2-point form of the equation for a line:

  y = (y2 -y1)/(x2 -x1)·(x -x1) +y1

Filling in the given values, we have ...

  y = (9 -5)/(3 -(-1))·(x -(-1)) +5

  y = (4/4)(x +1) +5 . . . . simplifying a bit

  y = x +6

3 0
3 years ago
Quick problem to check!
Andrew [12]

To find the rate of change, also known as the slope, we can use the slope formula with these two given points.

Point 1: (20, 25)

Point 2: (50, 40)

(40 - 25) / (50 - 20)

15 / 30

0.5

The rate of change of this function is $0.50 / lb.

Hope this helps!! :)

6 0
3 years ago
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