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
kirill115 [55]
2 years ago
6

What is the length of the interior diagonal, d, rounded to the nearest hundredth cm​

Mathematics
1 answer:
inn [45]2 years ago
4 0

Answer:

The length of the diagonal, d is approximately 24.49 cm

Step-by-step explanation:

The question asks to find the length of the interior diagonal of a rectangular prism, also known as a cuboid;

The parameters of the prism are;

The height of the prism = 10 cm

The width of the prism = 10 cm

The length of the prim = 20 cm

The length of the given diagonal of the cuboid is found by Pythagoras's theorem from the height, 'h', of the cuboid and the diagonal of the base of the cuboid

Let 'l' represent the diagonal of the base of the cuboid, we have, by Pythagoras's theorem;

l² = ((20 cm)² + (10 cm)²) = 500 cm²

The length of the diagonal, 'd', by Pythagoras's theorem is given as follows;

d = √(l² + (²10 cm))

By plugging in the known value for 'l² = 500 cm²', we get;

d = √(500 cm² + (²10 cm)) = √(600 cm²) = 10·√6 cm

The length of the diagonal, d = 10·√6 cm ≈ 24.49 cm (by rounding to the nearest hundredth cm)

You might be interested in
What is the remainder when 26 is divided by 6
kenny6666 [7]
4.3 repeating

Hope this helps.
6 0
3 years ago
Which is a solution to the equation y=5x-6
Vilka [71]
y=5x-6 \\ \\ the \ graph\ of \ a \ linear \ equation \ is \ a \ straight \ line


4 0
3 years ago
Read 2 more answers
Write two equivalent fractions 4/6
antoniya [11.8K]
4/6 

4/6 = 2/3
4/6 = 8/12

Answer : 2/3 and 8/12
7 0
3 years ago
Read 2 more answers
Trey is renting a paddleboard he paid $6 per hour plus a $10 rental fee he had $30 to spend how many hours can you rent a paddle
Trava [24]
3 hours

6x+10 is less than or equal to 30
8 0
2 years ago
Read 2 more answers
Priya buys a bicycle for $250.
Varvara68 [4.7K]

Answer:

108.60

Step-by-step explanation:

if you need the explanation you can comment

8 0
2 years ago
Other questions:
  • Anybody ????? I will mark you brainliest
    14·2 answers
  • Indicate the equation of the given line in standard form.
    11·1 answer
  • How do u do this? Help plz
    12·1 answer
  • Determine whether the following statement is true or false.
    5·1 answer
  • Que es suma y resta de fracciones homogeneas
    5·1 answer
  • What do these (>, ≥, <, ≤) mean
    12·2 answers
  • Who’s Candice???????????????
    13·2 answers
  • I realy need help please​
    14·2 answers
  • HURRYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY PLEASEEEEEEEEEEEEEEEEEEEEE
    7·2 answers
  • The first-, and second-year enrollment values for a technical school are shown in the table below:
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!