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3 years ago

The volume of a cube is 8 cm'. find th

Mathematics

1 answer:

Usimov [2.4K]3 years ago

8 0

Answer:

side length a = 2 cm

Step-by-step explanation:

side length a = 2 cm

face diagonal f = 2.8284271247462 cm

solid diagonal d = 3.4641016151378 cm

surface area S = 24 cm^2

volume V = 8 cm^3

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Carry out the indicated operations and simplify where possible:

zzz [600]

Answer:

1/8

Step-by-step explanation:

<u>Solving in steps:</u>

x(8x - 8y)⁻¹ + y(8y - 8x)⁻¹ =
x/8(x-y) +y/8*(-(x-y))
x/8(x-y) - y/8(x-y) =
(x -y)/8(x-y) =
1/8

Answer is 1/8

3 0

3 years ago

Please help , I would sincerely appreciate it

kozerog [31]

Answer:

B . S /2rh =pi

Step-by-step explanation:

S = 2* pi * r*h

We are solving for pi

Divide both sides by 2rh to isolate pi

S/ 2rh = 2 * pi *r* h / 2rh

S /2rh =pi

5 0

3 years ago

PLEASE HELP!

Wittaler [7]

Answer:

See below

Step-by-step explanation:

Use the formulae directly

For a cone, with base radius = r and height = h, here are the related formula

$\textrm{Slant height l} = \sqrt{r^2 + h^2}$ (1)

$\textrm{Lateral surface area} = \pi r l$

$\textrm {Base area} = \pi r^2$

$\textrm { Total Surface Area SA} = \textrm{Base Area + Lateral Area} = \pi r^2 + \pi rl = \pi r(r + l)$ (2)

$\textrm{Volume V = } (1/3) \pi r^2h$ (3)

Therefore directly plugging in the numbers in the above equations:

Note:

l = slant height in cm
SA = total surface area in sqcm
V = Volume in cubic cm

Figure(a)

r = 4, h = 8

$\textrm{l} = \sqrt{4^2 + 8^2} =\sqrt{80} = 8.944 \\\textrm{SA} = 4\pi(4 + 8.944) = 4\pi(12.944) = 162.66\\\textrm{V} = (1/3)\pi(4^2)(8) = 134.04$

Figure(b)

r = 7, h =15

$\textrm{l} = \sqrt{7^2 + 15^2} =\sqrt{274} = 16.55$

$\textrm{SA} = 7\pi(7 + 16.55) = 517.89$

Figure (c)

r = 5, l = 8

$h = \sqrt{l^2 - r^2} = \sqrt{8^2 - 5^2} = \sqrt{39} = 6.245\\SA = \textrm{SA} = 5\pi(5 + 8) = 204.2\\V = (1/3)\pi(5^2)(6.245) = 163.5$

6 0

1 year ago

Please give me correct answer

babunello [35]

Answer:

36 = 17+19 ---> They are twin primes and their sum is 36

84 = 41+43 ---> They are twin Primes and sum is 84

120 = 59+61 ---> They also are twin primes and their sum is 120

144 = 71+73 ---> They are also twin primes and the sum is 144

6 0

2 years ago

Carrie is finding the set of even numbers within the set of prime numbers. Of the sets described, which is the universal set?

gogolik [260]

Even numbers are considered divisible by 2
Prime numbers are numbers divisible by 1
Considering that in this situation, we only need positive numbers, 2 is the only number. It is even and also prime.

Therefore prime numbers

5 0

2 years ago