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kondor19780726 [428]
1 year ago
13

What is the volume of a regular pyramid having a base area of 24 inches and height of 6 inches

Mathematics
2 answers:
Nimfa-mama [501]1 year ago
8 0
<h3>❁ Question -:</h3>

If the base area of a regular pyramid is 24 inches and the height is 6 inches. Find the volume of the regular pyramid ?

<h3>❁ Explanation -:</h3>

In this question we are provided with the base area that is 24 inches and it is also given that the height is 6 inches. We are asked to calculate the volume of the regular pyramid.

We know,

✡ \:  \small \underline{ \boxed{\sf {{Volume_{(pyramid)} = \dfrac{1}{3}×B × H}}}}

Where,

  • B stand for base area.
  • H stand for height.

Substituting the values we get

\small\frak{ Volume_{(pyramid)} = \dfrac{1}{3}×24 × 6}

\small\frak{ Volume_{(pyramid)} = 24 × 2}

\small\frak {Volume_{(pyramid)} =48 \: inches}

\small \underline{\boxed{ \frak{ Volume \:  of  \: a  \: pyramid = 48 {inches }^{3} }}}

  • Hence the volume of the pyramid is 48 inches ³.

<em>NoTe </em><em>:</em><em> </em><em>Always make sure </em><em>that </em><em>the </em><em>volume </em><em>will </em><em>be </em><em>in </em><em>units³</em><em>.</em>

Anestetic [448]1 year ago
6 0

Answer:

V= 48 in^2

Step-by-step explanation:

Formula

Since the base has a known area, we do not need the full volume formula. This formula is

<em>V = B * h / 3</em>

B is the area of the base and h is the height measured from the top of the pyramid to the base meeting the base at right angles.

Givens

B = 24 in^2

h = 6 in

Solution

V = B * h / 3

V = 24 * 6/3

V= 48 in^2

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8-35. Use your knowledge of polygons to answer the questions below, if possible.
Nataliya [291]

Answer:

(a)I. 13 Sides II. 7 Sides

(b) 4 Sides, Square

(c)x=52 degrees

(d)x=107 degrees

(e)1620 degrees

Step-by-step explanation:

(a)The Sum of the Interior angle of polygon with n sides is derived using the formula: (n-2)180.

I. If the Interior angle is 1980^0

Then:

(n-2)180^0=1980^0\\$Divide both sides by 180^0 $ to isolate n$\\n-2=11\\$Add 2 to both sides of the equation\\n-2+2=11+2\\n=13

The polygon has <u>13 sides.</u>

II. If the Interior angle is 900^0

Then:

(n-2)180^0=900^0\\$Divide both sides by 180^0 $ to isolate n$\\n-2=5\\$Add 2 to both sides of the equation\\n-2+2=5+2\\n=7

The polygon has <u>7 sides.</u>

(b)The sum of the exterior angle of a polygon is 360 degrees,

Each exterior angle of a n-sided regular polygon is: \frac{360^0}{n}

If the exterior angle of a regular polygon is 90°

Then:

90\°=\frac{360^0}{n}\\ 90n=360\\n=4

The regular polygon has 4 sides and it is called a <u>Square.</u>

<u>(c)</u>The Sum of the Interior angle of polygon with n sides is derived using the formula: (n-2)180.

Each Interior angle of a regular n-sided polygon is:  \frac{(n-2)180^0}{n}

For a pentagon, n=5

Then:

\frac{(5-2)180^0}{5}=2x+4\\108=2x+4\\108-4=2x\\104=2x\\x=52^0

(d)The <u>sum of the exterior angle of a polygon is 360 degrees.</u>

If four of the exterior angles of a pentagon are 57, 74, 56, and 66.

Let the fifth angle=x

Then:

57+74+56+66+x=360^0\\253+x=360\\x=107^0

(e)The Sum of the Interior angle of polygon with n sides is derived using the formula: (n-2)180.

In an 11-gon., n=11

Therefore, the sum of the interior angle=(11-2)180=1620^0

The sum of the interior angle <u>does not change either in a regular or irregular polygon.</u>

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3 years ago
Good Stuff is giving away free pens to each of the first 200 people who come in the store today. In the first hour, they gave aw
AnnyKZ [126]

Answer:

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Step-by-step explanation:

x= 25 percent of 200

25/100 times X/200

Cross multiply them and you get

100x=5000

X=5000/100

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