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abruzzese [7]
3 years ago
7

the height of a square pyramid is one half the length of each side. the volume of the pyramid is 972in ^3. what is the height of

the pyramid
Mathematics
1 answer:
slavikrds [6]3 years ago
4 0

Answer:

18.7 inches

Step-by-step explanation:

The question says that the height of a square pyramid is one half the length of each side. the volume of the pyramid is 972in³ and we are now asked to find the height of the pyramid

----The volume of a square pyramid is

V = A(h/3)

And since the height is one half(3/2) of the base

Let's assume that the base is y inch

Height = 3/2 × y,

Base area = y × y = y²

Volume of the pyramid = 3/2 × y × y² ÷ 3 = 972

Y/2 × y² = 972

Y³ = 1944

Y = ³√1944

Y = 12.48

Since the lenghy of the base is 12.48 in

And the height us 3/2 of y,

H = 3/2 × 12.48

Height is 18.7 inches

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IgorLugansk [536]

Your answer is .6 repeating or 2/3 per person.

8 0
3 years ago
Please asap<br>for 10 points!​
kari74 [83]
<h3>Given:</h3><h3>Large cone:</h3>
  • r= 8 cm
  • h= 20 cm
<h3>Small cone:</h3>
  • r= 4 cm
  • h= 10cm
<h3>Note that:</h3>
  • r: radius
  • h: height
<h3>To find:</h3>
  • The volume of the frustum of the given cone.
<h3>Solution:</h3>
  • Frustum is a part of a cone formed by cutting off the top by a parallel plane.

\large\boxed{Formula: V= \frac{1}{3}\pi{r}^{2}h}

Let's solve!

First, let's find the volume of the smaller cone.

Substitute the values according to the

formula.

V= \frac{1}{3}×\pi×{4}^{2}×10

V= 167.5516082 \: {cm}^{3}

Now, we can round off to the nearest hundredth.

The value in the thousandths place is smaller than 5 so we won't have to round up.

\boxed{V= 167.55 \: {cm}^{3}}

Next, let's find the volume of the bigger cone.

Substitute the values according to the formula.

V= \frac{1}{3}×\pi×{8}^{2}×20

V= 1340.412866 \: {cm}^{3}

Now, we can round off to the nearest hundredth.

The value in thousandths place is smaller than 5 so we won't have to round up.

\boxed{V=1340.41 \: {cm}^{3}}

Now, we can find the volume of the frustum.

We'll have to minus the volume of the smaller cone from the bigger cone.

V= 1340.41-167.55

\large\boxed{V= 1172.86 \: {cm}^{3}}

<u>Hence, the volume of the frustum is 1172.86 cubic centimeters.</u>



8 0
2 years ago
Please help to solve this ​
Lerok [7]

Step-by-step explanation:

I think it will help you.

The image above will help you

7 0
2 years ago
A prism with a triangular base has a volume of 432 cubic feet. The height of the prism is 8
Rashid [163]

Answer:

9 feet

Step-by-step explanation:

Given:

A prism with a triangular base has a volume of 432 cubic feet.

The height of the prism is 8.

The triangle base has a base of 12 feet.

Question asked:

The height of the triangular base of the prism = ?

solution:

Volume of  triangular prism = Area of triangle \times height

432 = Area of triangle \times8

Dividing both side by 8

54 = Area of triangle

54 =  \frac{1}{2} \times base \times height

54 = \frac{1}{2} \times12\times height\\54 = \frac{12}{2} \times height

Multiplying both side by 2

108 = 12 \times height

Dividing both side by 12

9 = height

Thus, height of the triangular base of the prism is 9

3 0
3 years ago
A. The distance between the towers is 7350 ft, and the angles of elevation are given in the diagram. Find the distance from Towe
Mademuasel [1]
The angle T1PT2 is 65-37=28 degree
use law of sine: sin37/PT2=sin28/7370, PT2=7370*sin37/sin28
Use a calcuator, I got the answer 9448

B. sin65=PA/PT2, PA=PT2*sin65=9448*sin65=8563
4 0
3 years ago
Read 2 more answers
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