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
miskamm [114]
3 years ago
11

What is the volume of each cube? a) 10 cm b) 8.5 cm

Mathematics
1 answer:
ValentinkaMS [17]3 years ago
3 0

Answer:

a) V = 1000 cm³

b) V = 614.125 cm³

Step-by-step explanation:

a) side length a = 10 cm

face diagonal f = 14.142135623731 cm

solid diagonal d = 17.320508075689 cm

surface area S = 600 cm²

volume V = 1000 cm³

___________________________

b) side length a = 8.5 cm

face diagonal f = 12.020815280171 cm

solid diagonal d = 14.722431864335 cm

surface area S = 433.5 cm²

volume V = 614.125 cm³

_____________________________

Formula: V=a³

You might be interested in
Mr. Grey is planning to fly an airplane from Smithville straight to Sandia. The distance from Smithville to Sandia is 1.5 inches
alexgriva [62]

Answer:

running back the new York city police officer who was arrested on a charge for allegedly carrying out a stolen vehicle was

7 0
3 years ago
A firework is launched at the rate of 10 feet per second from a point on the ground 50 feet from an observer. to 2 decimal place
Kazeer [188]

The rate of change of the angle of elevation when the firework is 40 feet above the ground is 0.12 radians/second.

First we will draw a right angle triangle ΔABC, where ∠B = 90°

Lets, assume the height(AB) = h and base(BC)= x

If the angle of elevation, ∠ACB = α, then

tan(α) = \frac{AB}{BC} = \frac{h}{x}

Taking inverse trigonometric function, α = tan⁻¹ (\frac{h}{x}) .............(1)

As we need to find the rate of change of the angle of elevation, so we will differentiate both sides of equation (1) with respect to time (t) :

\frac{d\alpha}{dt}=[\frac{1}{1+ \frac{h^2}{x^2}}]*(\frac{1}{x})\frac{dh}{dt}

Here, the firework is launched from point B at the rate of 10 feet/second and when it is 40 feet above the ground it reaches point A,

that means h = 40 feet and \frac{dh}{dt} = 10 feet/second.

C is the observer's position which is 50 feet away from the point B, so x = 50 feet.

\frac{d\alpha}{dt}= [\frac{1}{1+ \frac{40^2}{50^2}}] *\frac{1}{50} *10\\ \\ \frac{d\alpha}{dt} = [\frac{1}{1+\frac{16}{25}}] *\frac{1}{5}\\ \\ \frac{d\alpha}{dt} = [\frac{25}{41}] *\frac{1}{5}\\   \\ \frac{d\alpha}{dt}= \frac{5}{41} =0.1219512

= 0.12 (Rounding up to two decimal places)

So, the rate of change of the angle of elevation is 0.12 radians/second.

5 0
3 years ago
Divide £50 in the ratio of 1:4
NikAS [45]
Answer=10:40


Explanation:

Don’t know how to type the symbol in font of the 50 so I will substitute
£50=$50

So 1:4
Add it up
1+4=5

So 5 total units
$50=5
Divided by 5
$10=1 units

So 1:4=10:10 times 4=10:40
6 0
3 years ago
3 is 12% of what number
AleksAgata [21]


3/12% = 25

<em>Therefore, 3 is 12% of 25.</em>

3 0
3 years ago
Read 2 more answers
PLEASE HELP ME ON THIS IT IS GEOMETRY PLEASE HELP ME DO NOT WASTE MY ANSWERS PLEASE HELP ME
sweet-ann [11.9K]
It’s hard to tell because there isn’t a visual. My guess is that it’s ASA~ and SAS~ because T is congruent to P and A and F have the same angle
5 0
3 years ago
Other questions:
  • Sarah is selling bracelets and earrings to make money for summer vacation. The bracelets cost $2 and the earrings cost $3. She n
    11·1 answer
  • Rezolvați + explicație plzzzz
    6·1 answer
  • I need help please look at the picture thx
    12·1 answer
  • What is 13/18 as a percent?
    8·2 answers
  • Which of the follow employees has the largest gross pay?
    6·1 answer
  • What percentage of the people liked Rocky the most ?
    7·1 answer
  • John is digging a hole for a swimming pool,the hole will be 28 feet long, 5 feet wide, 34 feet wide. How much cubic feet of dirt
    5·1 answer
  • Jonathan goes to the store and purchases 3 pencils for $0.28 each, and y number of erasers for $0.38 each. Write an expression t
    11·2 answers
  • WILL GIVE BRAINLIEST
    8·1 answer
  • If a ! 0 and 5/x = (5+a) / (x+a) what is the value of x ?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!