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ludmilkaskok [199]
3 years ago
14

What is the maximum volume of a pyramid that can fit inside a cube that has side 18 cm long?

Mathematics
1 answer:
Ludmilka [50]3 years ago
8 0
Formula for <span>Volume of cube= 1/3 x area of base x height
</span>as base and height are the same:
So,
Base = 18 cm
Height = 18 cm
Area of base = Base^2
<span>Area of base = 18^2
</span><span>Area of base = 324 cm
</span>Putting all the values into the formula:
1/3 x 324 x 18 
<span>=6 x 324 </span>
= 1944 cm^3
So according to above explanation
<span>C) 1944 cm3, is the correct answer.</span>
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Terrence and Lee were selling magazines for a charity. In the first week, Terrance sold 30% more than Lee. In the second week, T
timurjin [86]

Lee sold 60 magazine

Step-by-step explanation:

Terrence and Lee were selling magazines for a charity

  • In the first week, Terrance sold 30% more than Lee
  • In the second week, Terrance sold 12 magazines, but Lee did not sell any
  • Terrance sold 50% more than Lee by the end of the second week

We need to find how many magazines Lee sold

Assume that Lee sold x magazines

∵ Terrance sold 30% more than Lee in the first week

∵ Lee sold x magazines in the first week

- Find 30% of x and add it to x to find how many magazines

  Terrance sold

∵ Terrance sold = 30% × x + x

∴ Terrance sold = \frac{30}{100} × x + x = 0.3 x + x

∴ Terrance sold = 1.3 x magazines in the first week

∵ Terrance sold 12 magazines in the second week

- Add 1.3 x to 12 to find the number of magazines that Terrence

  sold in the two weeks

∴ Terrence sold 1.3 x + 12 magazines in the two weeks

∵ Lee did not sell any in the next week

∴ Lee sold x magazines in the two weeks

∵ Terrance sold 50% more than Lee by the end of the 2nd week

- Equate 1.3 x + 12 by the sum of x and 50% of x

∴ 1.3 x + 12 = 50% × x + x

∵ 50% × x = \frac{50}{100} × x = 0.5 x

∴ 1.3 x + 12 = 0.5 x + x

- Add the like terms in the right hand side

∴ 1.3 x + 12 = 1.5 x

- Subtract 1.3 x from both sides

∴ 12 = 0.2 x

- Divide both sides by 0.2

∴ 60 = x

Lee sold 60 magazine

Learn more:

You can learn more about the percentage in brainly.com/question/12284722

#LearnwithBrainly

5 0
3 years ago
Find the mean for the amounts: $17,485; $14,978; $13,592; $14,500; $18,540; $14,978. Round to the nearest dollar.
Phoenix [80]

Answer:$15,679

Step-by-step explanation:

Mean is calculated as total sum of the amount divided by number of the amount.

From the given question, we add the amount together and divide by six:

Mean = $17,485 + $14,978+ $13,592 +$14,500 + $18,540 +$14,978/6

=$94,073/6

=$15,678.8

To the nearest dollar will be $15,679 since 0.8 is greater than 0.5, we round up.

I hope this helps.

8 0
3 years ago
Two brothers shared the coins in a piggy bank. Alan received 140 coins. When he gave 48 coins to his brother, the number of his
Musya8 [376]
Assume Alan's brother has x coins before Alan gave him 48 coins
x+48=1.4x (increased by 40%)
0.4x=48
x=120
120+140=260
answer is 260 coins
5 0
3 years ago
A person has $1 bills and $5 bills. She has $108 from 32 total bills. Find the number of $1 bills and $5 bills that she has.
Radda [10]
21 5 dollar bills
86. 1 dollar bills

4 0
3 years ago
Perform the operation. (10x2 – 10x – 6) + (x+6)
ivann1987 [24]

Answer:

10x² - 9x

Step-by-step explanation:

(10x² - 10x - 6) + (x + 6)

10x² - 10x - 6 + x + 6

10x² - 9x - 6 + 6

10x² - 9x

8 0
3 years ago
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