1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
zheka24 [161]
3 years ago
7

Three cubes of the same metal, whose edges are 6, 8, 10 cm are meltedand formed into a single cube. Find the diagonal of the sin

gle cube.
please answer urgently
will mark brainliest
Mathematics
1 answer:
allochka39001 [22]3 years ago
3 0

Answer: 12√2 cm

<u>Step-by-step explanation:</u>

Cube 1: V = 6³ = 216

Cube 2: V = 8³ = 512

Cube 3: <u>V = 10³ = 1000</u>

New Cube: V = 1728

1728 = s³

12 = s

So, each side of the new cube is 12 cm.

Use Pythagorean Theorem to find the length of the diagonal:

12² + 12² = diagonal²

144 + 144 = diagonal²

288 = diagonal²

√288 = diagonal

12√2 = diagonal


You might be interested in
13. Write an equation for the given function given the amplitude, period, phase shift, and vertical shift.
aev [14]

Answer:

y=4sin(\frac{\pi}{2} x+\pi)-2

Step-by-step explanation:

The equation of a periodic  function is in the form:

y = Asin(Bx + C) + D

Where A = amplitude, B = 2π / period, D = vertical shift, phase shift = -C / B.

Given that:

amplitude: 4, period 4 phase shift = vertical shift = -2

Hence:

A = amplitude = 4, B = 2π / period = 2π / 4 = π / 2, D = vertical shift = -2.

Phase shift = -C / B

C = -phase shift * B = - * -2 * π / 2 = π.

Therefore substituting gives:

y=4sin(\frac{\pi}{2} x+\pi)-2

8 0
3 years ago
A washer and a dryer cost 792 combined. The washer costs 92 more than the dryer. What is the cost of the dryer?
WITCHER [35]

Answer:

divide 792 by 2

792÷2=304

then add 92 to the cost 304

304+92=396

6 0
1 year ago
Which polynomial is in standard form
sukhopar [10]

Answer:

The third one

not sure bu i am working on this to so might be right

7 0
3 years ago
Which expressions are equal to 105?
Tamiku [17]

Answer:

103 and 102

Step-by-step explanation:

u add them together

6 0
3 years ago
Please help this is about be getting a 4/4 in my math class now I have 3/4 I want to get 4/4 please help...
r-ruslan [8.4K]

Answer:

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • A 95% confidence interval for the proportion of young adults who skip breakfast is .20 to .27. Which of the following is a corre
    6·1 answer
  • Evaluate the expression {362-[6×3+(48÷2)×2]}+3(9+4)
    10·1 answer
  • What will be the value of
    10·1 answer
  • An injection-molded part is likely to be obtained from any one of 8 cavities on a mold. Round your answers to three decimal plac
    15·1 answer
  • I have 5 questions. Please try to answer as many as possible! It would be a big help.
    7·2 answers
  • If it is, identify the common difference. 4, 8, 16, 32, …
    12·1 answer
  • Hi please help me with this
    7·1 answer
  • Help please if u know
    15·1 answer
  • Find an equation of the line L. L is perpendicular to y=-2x and is passing through points 2,-4
    11·1 answer
  • "The product of four and a<br> number is more than ten."
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!