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
serious [3.7K]
3 years ago
12

What is the length of a diagonal of a cube with a side length of 10 cm? 200 cm 210cm 300 cm 320cm

Mathematics
2 answers:
Andrej [43]3 years ago
8 0

Answer:

its c on endeguity

Step-by-step explanation:

Scilla [17]3 years ago
7 0

Answer:

The length of the diagonal of the cube = √(3 × 10²) = √300 cm

Step-by-step explanation:

* Lets revise the properties of the cube

- It has six equal faces all of them are squares

- It has 12 vertices

- The diagonal of the cube is the line joining two vertices in opposite

 faces (look to the attached figure)

- To find the length of the diagonal do that:

# Find the diagonal of the base using Pythagoras theorem

∵ The length of the side of the cube is L

∵ The base is a square

∴ The length of the diagonal d = √(L² + L²) = √(2L²)

- Now use the diagonal of the base and a side of a side face to find the

 diagonal of the cube by Pythagoras theorem

∵ d = √(2L²)

∵ The length of the side of the square = L

∴ The length of the diagonal of the cube = √[d² + L²]

∵ d² = [√(2L²)]² = 2L² ⇒ power 2 canceled the square root

∴ The length of the diagonal of the cube = √[2L² + L²] = √(3L²)

* Now lets solve the problem

∵ The length of the side of the square = 10 cm

∴ The length of the diagonal of the cube = √(3 × 10²) = √300 cm

- Note: you can find the length of the diagonal of any cube using

 this rule Diagonal = √(3L²)

You might be interested in
How do you write three hundred and twelve in place value
Shtirlitz [24]
You write it like this
312
6 0
3 years ago
Read 2 more answers
7y - 8y - 28 = -14
Pachacha [2.7K]

Answer:

y = -14

Step-by-step explanation:

7y - 8y - 28 = -14

- y = -14 + 28

- y = 14

y = -14

hope it helps!

3 0
2 years ago
Read 2 more answers
Dog food costs 9$ per bag and cat food costs 8$ per bag. if billy spent 89$ and purchased 6 bags of dog food, how many bags of c
REY [17]
6 bags of dog food × $9 = 54
$89 total - $54 spent on dog food = $35 spent on cat food

$35 / $8 = 4.375, but you can't have decimals for cat food bags so round down.

= 4 bags of cat food
3 0
3 years ago
Help with all of these please explain if u can !
sveticcg [70]

Answer:

1. 78cm^2

2. 200 ft^2

Step-by-step explanation:

1. i always cut these complex shapes into simpler ones (in this case a rectangle and a triangle)

the rectangles area is 6*8 or 48 and the triangles area is (10*6)/2 or 30 you then add the two areas to get the area for the whole shape 48+30=78

2. once again you're going to break this shape up into the individual rooms and then add them together the garage is a 4*6 room (24) the bedroom is a 8*4 room (32) the living room is a 10*10 room (100) the kitchens a  6*6 room (36) and the bathroom is a 4*2 room (8) you then add all these together

24+32+100+36+8=200

4 0
3 years ago
Read 2 more answers
An angle whose measure is degree134° is bisected. What is the measure of each of the two new angles?
Olenka [21]

Answer:

Each angle is 67 degrees

Step-by-step explanation:

Bisected angles are divided in half

134/2 =67

Each angle is 67 degrees

4 0
2 years ago
Other questions:
  • The bar graph shows the numbers of reserved campsites at a campground for one week. What percent of the reservations were for Fr
    11·2 answers
  • In a certain​ city, the average​ 20- to​ 29-year old man is 69.669.6 inches​ tall, with a standard deviation of 3.23.2 ​inches,
    11·1 answer
  • Burj al Arab hotel another one of the world's tallest buildings Built in 1973, it is 1,136 feet high and has 80 stories. If each
    5·1 answer
  • Can you please walk me through how to simplify this? <br><br> 3x^2 – 5x^2 +4x^2
    13·2 answers
  • Help Please.. 1 /2x + y = 4 What is the x-intercept? What is the y-intercept?
    12·1 answer
  • -19 ≥ z/7+23 there are no answer choices but I have to write this to make it 20 characters.
    8·1 answer
  • A business wants to manufacture refridgerators. Before they start production, they need to make sure they can make a profit with
    6·1 answer
  • a toy maker is making mini 3 wheel &amp; 4 wheel all terrain atvs. he has a total of 61 wheels and 17 sets of handle bars. how m
    10·1 answer
  • What is 1x1x1x1x1x1x1x1x1x1x1x1x1x1x1x1x1x1x1x1x1x1x1x1x1x1x1x1x1x1x1
    14·2 answers
  • Shaniqua is taking a test. After 20 minutes she has 35 questions left. After 40 minutes she has 15 questions left. If Shaniqua t
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!