Предмет: Геометрия, автор: Аноним

Объем куба равен 192√3.найдите его диагональ!

Ответы

Автор ответа: Eug3nz

Находим ребро куба используя формулу объема

$V = a^{3}$

$a ^{3} = 192 sqrt{3}= frac{192sqrt{3} sqrt{27}}{sqrt{27}}=frac{192sqrt{81}}{sqrt{27}}=$

$= frac{192*9}{sqrt{27}}= frac{1728}{sqrt{27}}= frac{12^{3}}{ sqrt{ 3^{3} } }=(frac{12}{ sqrt{ 3 } })^{3}$

$a =sqrt[3]{(frac{12}{ sqrt{ 3 } })^{3} } = frac{12}{ sqrt{3} }$

Находим диагональ по формуле

$d=a sqrt{3} = frac{12sqrt{3}}{ sqrt{3} }=12$

Ответ: 12

Предыдущий вопрос

Следующий вопрос

Интересные вопросы

Предмет: Английский язык, автор: limya

71.Marta, please open __________ book.
A) you’re
B)you
C)your
D)them
E)herself

72.I’m American. _______family is from Washington
A)-
B)My
C)Your
D)Their
E)Us

73.That’s my ___________car.
A)parents’
B)parent’s
C)parent
d)pareint’s
E)pareint

74.My brother _________a nice car.
A)Drives
B)Drive
C)Draive
D)Droves
E)Drivs

75. I like _______________
A)American music
B)music American.
C)Americas music
D)American musuc
E)Americal music

76. Mike and Jane ____ playing tennis in the park.
A. am
B. is
C. are
D. Be
E. Isn’t
77.I ____ playing the guitar.
A. am
B. is
C. are
D. Be
E. Isn’t
78.My brother ____listening to the music now.
A. am
B. is
C. are
D. Be
E. Isn’t
79.They ____ going home at the moment.
A. am
B. is
C. are
D. Be
E. Isn’t
80.Pardon! I ___ you.
A. Am not understanding
B. isn’t understanding
C. aren’t understanding
D. not understanding
E. understanding

81.He is ___ a good time with his friends at the moment
A. has
B. hasing
C. having
D. haveing
E. have
81.We ______ now
A. don’tsleep
B. aren’tsleep
C. aren’t sleeping
D. isn’tsleeping
E. haven’tslept

82. My watch _____. It is broken.
A. don’t work
B. is not work
C. does not working
D. isn’t working
E. is working

83.A: Have you got any plans for the summer? B: Yes, we _____ Italy in June.
A. am going to
B. is going to
C. are going to
D. be going to
E. are goes to

84 .Where is Ann? She .... in the kitchen.
A. am cooking
B. is cooking
C. are cooking
D. have cooking
E. cook

85.Who _____ over there? – It’s Peter and Jane.
A. is hiding
B. are hiding
C. hiding
D. hide
E. am hiding

86.Why ____ he waiting for us?
A. not
B. not is
C. -
D. Is
E. are
87. What_____to?
A. Music are you listening
B. are you listening music
C. you listening music are
D. listening to music
E. are music
88. She has (недавно) married her neighbour.
A. Recently
B. Often
C. Usually
D. Rarely
E. Seldom

89. She has (только что) published her autobiography.
A. Already
B. Just
C. Yet
D. Rarely
E. Usually

90.Which is a signal word for simple present?
A. now
B. Often
C. Already
D. Yet
E. Tomorrow

91.Which is not a signal word for simple present?
A. Every day
B. On Mondays
C. Seldom
D. Often
E. yet

92.Which is a signal word for simple present?
A. Sometimes
B. Yesterday
C. Last month
D. At the moment
E. Just

93.Which is a signal word for present continuous?
A. At the moment
B. Already
C. Often
D. Sometimes
E. Just

94. Which is a signal word for past simple?
a. Last week
b. Yet
c. Often
d. Ever
e. Never

95. Which is not a signal word for past simple?
A. Yesterday
B. Last night
C. 2 days ago
D. Last summer
E. Every day

96. Which are a signal word for present perfect?
A. Every day
B. Now
C. At the moment
D. Yet, already
E. Seldom

97. I have (уже) done the homework.
A. At the moment
B. Already
C. Often
D. Sometimes
E. Just

98. Has she arrived (уже)?
A. Every day
B. Now
C. At the moment
D. Yet
E. Seldom

99. The children have (только что) broken the window.
A. Just
B. Now
C. Seldom
D. Often
E. Every day

100. Translate into English
Он обычно ложится спать в 10 часов

A. He often goes to bed at ten o’clock
B. He usually goes to bed at ten o’clock
C. He seldom goes to bed at ten o’clock
D. He every day goes bed at ten o’clock
E. He goes to bed at ten o’clock

6 лет назад

Предмет: Алгебра, автор: dzienbaevaaisulu

201. Одна сторона прямоугольника длиннее 7 см, а вторая в 3 раза
длиннее первой. Докажите, что периметр прямоугольника больше
56 см.

6 лет назад

Предмет: Литература, автор: oleggonchar4806

Памагите скласти гисторыю

6 лет назад

Предмет: География, автор: 5yarovoi2001

Почему 22 июня называют "макушкой лета"?

10 лет назад

Предмет: Математика, автор: Maggotbk

В лесу растут березы, сосны и ели. Всего 4560 деревьев. Берез на 136 меньше, чем сосен, и на 80 больше, чем елей. Сколько елей растет в лесу?

10 лет назад