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3 years ago

A storage unit is in the shape of a cube with 8-foot edge lengths.

1 answer:

7 0

The answer is 3,072.
Heres how I got it:

SA of a CUBE: s^3 * 6

Lets plug in our numbers-
8 * 8 * 8= 512 * 6

512 * 6= 3072

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Please solve this, will rate 5 stars and mark as STAR!

Nina [5.8K]

Answer:

$\boxed{5 \cdot \sqrt{2} \cdot \sqrt[6]{5} }$

Step-by-step explanation:

$\sqrt[3]{250} \cdot \sqrt{\sqrt[3]{10} }$

$\sqrt{\sqrt[3]{10} } \implies (10^\frac{1}{3} )^\frac{1}{2} =10^\frac{1}{6} =\sqrt[6]{10}$

$\therefore \sqrt{\sqrt[3]{10} }=\sqrt[6]{10}$

$\text{Solving }\sqrt[3]{250} \cdot \sqrt{\sqrt[3]{10} }$

$250=2 \cdot 5^3$

$\sqrt[3]{250}=\sqrt[3]{2\cdot 5^3}=5 \sqrt[3]{2}$

Once

$\sqrt[6]{2} \cdot \sqrt[6]{5} = \sqrt[6]{10}$

We have

$5 \sqrt[3]{2} \cdot \sqrt[6]{2} \cdot \sqrt[6]{5}$

We can proceed considering the common base of exponentials

$\sqrt[3]{2} \cdot \sqrt[6]{2} = 2^{\frac{1}{3}} \cdot 2^{\frac{1}{6} } = 2^{\frac{3}{6} } = 2^{\frac{1}{2} }=\sqrt{2}$

Therefore,

$5 \sqrt[3]{2} \cdot \sqrt[6]{2} \cdot \sqrt[6]{5} = 5 \cdot \sqrt{2} \cdot \sqrt[6]{5}$

7 0

3 years ago

If possible step by step explanation. thank you!

elixir [45]

Answer:

Step-by-step explanation:

$\frac{(3x^{2} )^\frac{1}{2} }{3^\frac{1}{2} } =3$

$(3x^2)^\frac{1}{2} = 3^\frac{1}{2} x$

Remember that $\frac{x^b}{x^c} =$ x^(b-c)

Using that $\frac{3^\frac{1}{2}x }{3^\frac{1}{2} }$ =3^(1/2x-1/2)=3^((x-1)/2)

$3^\frac{x-1}{2} =3^1$

So we can say: $\frac{x-1}{2} =1$ , because the bases are the same

We can multiply both sides of the equation by 2. We get x-1=2, and x=3. Which is A.

7 0

3 years ago

What is 9.4 x 100 I need a quick answerr

abruzzese [7]

Answer: 940

Explanation: A quick way to think of this is moving the decimal in 9.4 to the right by two decimal places (since there are two zeroes in 100) Hope this helps! :)

8 0

3 years ago

Read 2 more answers

A rectangle or prism has a volume of 60 cm³ a height of 3 cm the length of 5 cm what is the width of the prism

igomit [66]

Answer:

Step-by-step explanation:

6 0

3 years ago

A=244in2<br> H=<br> B=12.6in<br> (1in=2.54cm)

pshichka [43]

Although there is no picture, I will assume this is a triangle we are talking about since the terms base and height are being used. If that is the case, the height is roughly 38.72in.

To find this, we will use the area of a triangle formula.

1/2bh = a ---> plug in known values.
1/2(12.6)(h) = 244 ---> multiply to simplify
6.3(h) = 244 ----> divide both sides by 6.3
h = 38.73

6 0

3 years ago