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zhuklara [117]
3 years ago
7

Find the volume for the regular pyramid. V =

Mathematics
2 answers:
mylen [45]3 years ago
7 0
The volume is given by:
 V = L * Apb * h
 Where,
 L: side of the base
 Apb: apothema of the base
 h: height
 Substituting we have:
 V = (4) * ((root (3) / 2) * 4) * (6)
 Rewriting we have:
 V = (4) * ((root (3) / 2) * 4) * (6)
 V = 96 * (root (3) / 2)
 V = 48 * root (3)
 Answer:
 
V = 48 * root (3)
expeople1 [14]3 years ago
6 0
 The answer of this is  V = 48 * root (3).
Formula:
V = L * Apb * h Where, L= side of the base Apb=apothema of the base h= heightSubstitute the values: V = (4) * ((root (3) / 2) * 4) * (6) V = (4) * ((root (3) / 2) * 4) * (6) V = 96 * (root (3) / 2) V = 48 * root (3)



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Trapezoid MNPQ is similar to Trapezoid RSTU. What is the length of the "x" on the misside side NP ? Also, what is the length of
ivolga24 [154]

Answer:

x =  15

y =  25

Step-by-step explanation:

Given

See attachment for MNPQ and RSTU

Required

Find x and y

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The ratio of corresponding sides are:

MN : RS

NP : ST

PQ : TU

MQ : RU

From the attachment, we have:

MN : RS \to 18 : 30

NP : ST \to x : 25

PQ : TU \to 15 : y

To solve for x, we equate MN : RS and NP : ST

18 : 30 = x : 25

Express as fraction

\frac{18 }{ 30 }= \frac{x }{ 25}

Make x the subject

x =  25 * \frac{18 }{ 30 }

x =  \frac{25 * 18 }{ 30 }

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To solve for y, we equate MN : RS and PQ : TU

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Express as fraction

\frac{18 }{ 30 }= \frac{15 }{ y}

Make y the subject

y = 15 * \frac{30 }{ 18 }

y =  \frac{15 *30}{ 18 }

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