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Alborosie
2 years ago
8

Why are there 27 cubic feet in one cubic yard

Mathematics
1 answer:
kobusy [5.1K]2 years ago
8 0

One cubic yard is equal to 27 cubic feet because one yard is equal to 3 feet

<em><u>Solution:</u></em>

Given that, there 27 cubic feet in one cubic yard

Yard and feet are units of distance

1 Yard (yd) is equal to 3 feet (ft). To convert yards to feet, multiply the yard value by 3.

<em><u>The conversion factor for 1 yard to 1 feet is given as:</u></em>

1 \text{ yard } = 3 \text{ foot }

Now find for 1 cubic yard . Cubic yard means yard raised to power 3

Therefore,

1\ yard^3 = (3)^3\ feet^3\\\\1\ yard^3 = 27 feet^3\\\\1\ cubic\ yard = 27\ cubic\ feet

Thus one cubic yard is equal to 27 cubic feet

Therefore, there are 27 cubic feet in one cubic feet

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Please help right away.
Travka [436]

\sum\limits_{k=1}^{\infty}420\left(\dfrac{1}{6}\right)^{k-1}

The infinite geometric series is converges if |r| < 1.

We have r=1/6 < 1, therefore our infinite geometric series is converges.

The sum S of an infinite geometric series with |r| < 1 is given by the formula :

S=\dfrac{a_1}{1-r}

We have:

a_1=420\left(\dfrac{1}{6}\right)^{1-1}=420\left(\dfrac{1}{6}\right)^0=420\\\\r=\dfrac{1}{6}

substitute:

S=\dfrac{420}{1-\frac{1}{6}}=\dfrac{420}{\frac{5}{6}}=420\cdot\dfrac{6}{5}=84\cdot6=504

Answer: d. Converges, 504.

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Step-by-step explanation:


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3 years ago
Help please i need this done by tmr !
Nataly [62]

Answer:

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