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Zinaida [17]
3 years ago
9

Question 7 of 10

Mathematics
1 answer:
yanalaym [24]3 years ago
3 0
The answer is Subtraction
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Unit 11: volume & surface area homework 8
Sholpan [36]

The volumes of the pyramids are listed below:

  1. <em>V =</em> 1437.333 cm³
  2. <em>V =</em> 75,398 km³
  3. <em>V =</em> 59.2 ft³
  4. <em>V =</em> 393.3 yd³
  5. <em>V =</em> 1134.116 m³
  6. <em>V =</em> 403.333 mm³
  7. <em>V =</em> 405.6 in³
  8. <em>V =</em> 886.808 ft³
<h3>How to determine the volume of a pyramid</h3>

Volume is the space occuppied by an object. In this question we must determine the volumes of pyramids of <em>circular</em> <em>base</em> and <em>polygonal</em> base (<em>V</em>). All the formulas needed are described below:

<h3>Volume of the pyramid</h3>

<em>V = (</em>π<em>/</em>3<em>) · B · h</em>     (1)

<h3>Base of the pyramid - Circle</h3>

<em>B = (</em>π<em>/</em>4<em>) · R²</em>     (2)

<h3>Base of the pyramid - Regular polygon</h3>

<em>B = (n · L²)/(</em>4 <em>· tan </em>0.5α<em>)</em>     (3)

<h3>Base of the pyramid - Right triangle</h3>

<em>B = (</em>1/2<em>) · b · z</em>     (4)

<h3>Base of the pyramid - Rectangle</h3>

<em>B = b · z</em>

Where:

  • <em>R</em> - Radius
  • <em>n</em> - Number of sides of the polygon.
  • <em>l</em> - Side length
  • <em>α</em> - Internal angle, in degree.
  • <em>h</em> - Height of the pyramid
  • b - Base of the right triangle/rectangle.
  • z - Length of the right triangle/rectangle.

Now we proceed to solve each pyramid:

1) <em>Square</em>, <em>n =</em> 4, <em>α =</em> 90°, <em>L =</em> 14 cm, <em>h =</em> 22 cm

<em>B =</em> 196 cm², <em>V =</em> 1437.333 cm³

2) <em>Circle</em>, <em>R =</em> 3 km, <em>h =</em> 8 km

<em>B ≈</em> 28.274 km², <em>V =</em> 75,398 km³

3) <em>Right triangle</em>, <em>b =</em> 12 ft, <em>z =</em> 3.7 ft, <em>h =</em> 8 ft

<em>B =</em> 22.2 ft², <em>V =</em> 59.2 ft³

4) <em>Rectangle</em>, <em>b =</em> 23 yd, <em>z =</em> 9 yd, <em>h =</em> 5.7 yd

<em>B =</em> 207 yd², <em>V =</em> 393.3 yd³

5) <em>Circle</em>, <em>R =</em> 9.5 m, <em>h =</em> 12 m

<em>B ≈</em> 283.529 m², <em>V =</em> 1134.116 m³

6) <em>Regular pentagon</em>, <em>B =</em> 110 mm², <em>h =</em> 11 mm

<em>V =</em> 403.333 mm³

7) <em>Square</em>,<em>n =</em> 4, <em>α =</em> 90°, <em>L =</em> 13 in, <em>h =</em> 7.2 in

<em>B =</em> 169 in², <em>V =</em> 405.6 in³

8) <em>Regular triangle</em>, <em>n =</em> 3, <em>α =</em> 120°, <em>L =</em> 16 ft, <em>h =</em> 24 ft

<em>B ≈</em> 110.851 ft², <em>V =</em> 886.808 ft³

To learn more on volumes, we kindly invite to check this verified question: brainly.com/question/1578538

7 0
2 years ago
Determine the equation of a line in standard form that represents Kelsa’s training progress. Her progress corresponds to the poi
UkoKoshka [18]

We first get the gradient of the equation of a line by taking the change in y over change in x

Hence our gradient will be

(6-9.5)/(8-1)=-3.5/7=0.5

Taking an arbitrary point(x,y) and using our gradient we get and one of the points above we get

(y-6)/(x-8)=0.5

y-6=0.5*(x-8)

y-6=0.5x-4

y=0.5x+2 or y=1/2x+2

which is the line of our equation the answer we are asked for.

 

 

<span> </span>

3 0
3 years ago
Is 3 feet greater to less than or equal to 21 feet
AleksandrR [38]
3 ft is less than 21 ft

(if you ment 21 inches 3ft=36 inches so if you ment that 3 ft would be larger in that case)
7 0
3 years ago
Read 2 more answers
A- You roll a regular die (one dice). What is the probability of rolling a 4? SIMPLIFY,
tatiyna

Answer:

1/6th chance

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Kylie and chen have 69 stickers. Kylie and Olivia have 95 stickers. The ratio of the number of stickers Olivia has to the number
White raven [17]
Kylie has 30 stickers
7 0
3 years ago
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