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2 years ago

A cube has a volume of 64. What is the length of one side of the cube?

Mathematics

1 answer:

Sauron [17]2 years ago

8 0

We will solve this using volume of cube formula. Since, It is a cube all the sides are equal in length. Let's find the length with volume... ~

$\boxed{ \sf \: volume = a^{3} }$

Where A is the side of cube

We have, Volume = 64

Let's solve for a

$\sf\to64 = {a}^{3}$

Swap the sides of the equation

$\sf \to \: a^{3} = 64$

Take the cube root of 64

$\sf \to \: a = \sqrt[3]{64}$

Solve for root

$\sf \to \: a = 4$

<em>Thus, Each side of the cube measures 4 unit..!</em>

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2 years ago

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Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
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3 years ago

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laila [671]

Answer:

The formula is ⇒ $\frac{-1}{2}(\frac{3}{5})^{n-1}$

Step-by-step explanation:

∵ The sequence is -1/2 , -3/10 , -9/50 , -27/250

∵ (-3/10) ÷ (-1/2) = 3/5

∵ (-9/50) ÷ (-3/10) = 3/5

∴ It is a geometric sequence

∴ The formula is Tn = ar^(n - 1)

Where a is the first term , r is the constant ratio between each two consecutive terms and n is the position of the number

∴ Tn = -1/2 ( 3/5)^(n - 1)

∴ $Tn= \frac{-1}{2}(\frac{3}{5})^{n-1}$

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3 years ago

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