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
A scale drawing of a living room is shown below:
Pie

Answer:

103 ft.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
For questions 3 – 5, an airplane is heading south at an airspeed of 540 km/hr, but there is a wind blowing from the northeast at
GuDViN [60]

First, let's calculate the horizontal and vertical components of the wind speed (W) and the airplane speed (A), knowing that south is a bearing of 270° and northeast is a bearing of 45°:

\begin{gathered} W_x=W\cos45°\\ \\ W_x=50\cdot0.707\\ \\ W_x=35.35\\ \\ \\ \\ W_y=W\sin45°\\ \\ W_y=50\cdot0.707\\ \\ W_y=35.35 \end{gathered}\begin{gathered} A_x=A\cos270°\\ \\ A_x=540\cdot0\\ \\ A_x=0\\ \\ \\ \\ A_y=A\sin270°\\ \\ A_y=540\cdot(-1)\\ \\ A_y=-540 \end{gathered}

Now, let's add the components of the same direction:

\begin{gathered} V_x=W_x+A_x=35.35+0=35.35\\ \\ V_y=W_y+A_y=35.35-540=-504.65 \end{gathered}

To find the resultant bearing (theta), we can use the formula below:

\begin{gathered} \theta=\tan^{-1}(\frac{V_y}{V_x})\\ \\ \theta=\tan^{-1}(\frac{-504.65}{35.35})\\ \\ \theta=-86° \end{gathered}

The angle -86° is equivalent to -86 + 360 = 274°.

Therefore the correct option is b.

8 0
1 year ago
A car averaged 48 miles per hour traveling 672 miles from Washington to Orlando. How long was the trip?
lora16 [44]
14 hours
672 miles / 48 mph = 14 hours total

4 0
3 years ago
Read 2 more answers
7 ⅓ ÷ 225 = <br> answer this question plz
antoniya [11.8K]

Answer:

0.03259..

Step-by-step explanation:

7 0
2 years ago
Plz plz help
viktelen [127]
X^2 - 10 = 3x
X^2 - 3x - 10 = 0
(x - 5) (x + 2) = 0
x = 5 and x = -2
Answer: x = -2
6 0
3 years ago
Other questions:
  • (-3/4) to the -4th power
    11·2 answers
  • 2 divided by 1/4 <br> pls answer as a fraction
    15·1 answer
  • Evaluate each expression for the given values of the variables: |a+x|/2-|a-x|/2if a=−2; x=−6
    5·2 answers
  • What is the result of 4÷ 8/12 ? <br>A. 1/6<br>B. 3/8<br>C. 3<br>D. 6<br>help me please ! thank you
    12·1 answer
  • What is 9m-3(m+6)=2(m+1)
    12·2 answers
  • A snail travels 10cm in 4 minutes. At this rate how far does the snail travel in 6 minutes
    9·2 answers
  • 17. Factor x ^ 3 + 5x ^ 2 - 9x - 45 . A. (x - 5)(x ^ 2 + 9) b . (x - 5)(x - 3) * (x + 3) Factor By Groupin (x + 5)(x - 3) * (x +
    11·1 answer
  • Evaluate (-2)3+(-2)4
    5·2 answers
  • PLEASE HELP NEED HELP ASAP!!!!!!
    14·2 answers
  • What is the equation of a parabola whose vertex is at the origin and whose directrix is y = 3? a. y2 = 12x b. y2 = -12x c. x2 =
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!