All categories

3 years ago

The area of a face of a cube is 144cm^2 . find its volume

Mathematics

1 answer:

love history [14]3 years ago

5 0

Step-by-step explanation:

1 face area = length x width (aka length x length since cube)

therefore 1 side = ±√144 cm = 12 cm or - 12cm (rej as length > 0cm)

volume = length x width x height = 12 x 12 x 12 = 1728cm^3

Topic: Mensuration

If you would like to venture further into mathematics, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!

You might be interested in

Use the given conditions to write an equation for the line in point-slope form. Passing through (-5, -7) and (-8, -6)

horsena [70]

Answer:

y+7= -1/3(x+5)

3 0

3 years ago

The battery on McKenzies old computer can last 4(1/5) hours. She bought a new computer that has a battery that can last 40% long

Solnce55 [7]

Answer:

$5\frac{22}{25}\ hours$

Step-by-step explanation:

we know that

$4\frac{1}{5}\ hours=\frac{4*5+1}{5}=\frac{21}{5}\ hours$

$100\%+40\%=140\%=\frac{140}{100}$

Let

x ------> new battery life

The equation that represent this situation is

$x=\frac{140}{100} (\frac{21}{5})=\frac{2,940}{500}\ hours$

convert to mixed number

$\frac{2,940}{500}=\frac{2,500}{500}+\frac{440}{500}=5\frac{22}{25}\ hours$

4 0

3 years ago

Need help with geometric sequences <br> 30 points

NeTakaya

Answer:

$a_{n}$ = 6 $(5)^{n-1}$

Step-by-step explanation:

The n th term of a geometric sequence is

$a_{n}$ = a $(r)^{n-1}$

where a is the first term and r the common ratio

Here a = 6 and r = 30 ÷ 6 = 5, thus

$a_{n}$ = 6 $(5)^{n-1}$

8 0

3 years ago

If f (x) = 3x - 2 and fog(x) = 6x - 2 then find the value of<br>x such that gof(x) = 8.

Yakvenalex [24]

9514 1404 393

Answer:

x = 2

Step-by-step explanation:

To find g(x), we can start with the inverse of f(x).

f(y) = x . . . . . . . solve this to find f^-1(x)

3y -2 = x

3y = x +2 . . . . add 2

y = (x +2)/3 = f^-1(x) . . . . divide by 3

Now, we can find g(x):

f^-1(f(g(x)) = g(x)

f^-1(6x -2) = ((6x -2) +2)/3 = g(x)

6x/3 = g(x) = 2x

Now, we want g(f(x)) = 8

g(3x -2) = 8

2(3x -2) = 8

6x -4 = 8

6x = 12

x = 2 . . . . makes g(f(x)) = 8

8 0

3 years ago

a group of 19 students want to see the show at the planetarium tickets cost 11 dollars for each student who is a member and 13 d

Gemiola [76]

11x19= 209 that is your answer

8 0

3 years ago

The area of a face of a cube is 144cm^2 . find its volume​

The area of a face of a cube is 144cm^2 . find its volume