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IceJOKER [234]
3 years ago
13

Some students are making solid figures with 1-inch unit cubes. Brittany is making a cube. She builds the first two layers of the

cube as shown. How many 1-inch unit cubes does Brittany need in all to make her cube? Explain how you found your answer.

Mathematics
1 answer:
Yuki888 [10]3 years ago
4 0

Answer:

6³ = 216 cubes

Step-by-step explanation:

she needs six layer of 6x6 = 36 cubes

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Answer:

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Step-by-step explanation:

In order to solve this problem we must start by graphing the given function and finding the differential area we will use to set our integral up. (See attached picture).

The formula we will use for this problem is the following:

V=\int\limits^b_a {\pi r^{2}} \, dy

where:

r=6-(6-3 sec(y))

r=3 sec(y)

a=0

b=\frac{\pi}{3}

so the volume becomes:

V=\int\limits^\frac{\pi}{3}_0 {\pi (3 sec(y))^{2}} \, dy

This can be simplified to:

V=\int\limits^\frac{\pi}{3}_0 {9\pi sec^{2}(y)} \, dy

and the integral can be rewritten like this:

V=9\pi\int\limits^\frac{\pi}{3}_0 {sec^{2}(y)} \, dy

which is a standard integral so we solve it to:

V=9\pi[tan y]\limits^\frac{\pi}{3}_0

so we get:

V=9\pi[tan \frac{\pi}{3} - tan 0]

which yields:

V=9\pi\sqrt{3}]

6 0
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What is $112 in 8 hours
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Answer:

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8 0
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The number 6 is 30% of what number
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8 0
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Answer:

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