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2 years ago

A cube with side of 6cm or a rectangular box of 7cm by 6cm by 4cm . find the volume

Mathematics

2 answers:

Mashcka [7]2 years ago

5 0

Answer:

216 cm^3, 168 cm^3

Step-by-step explanation:

Cube

Volume of a cube is the side * side * side.

Side = 6 || 6 * 6 * 6 = 216 cm^3

Rectangular Box

Volume of box is product of height, depth, and width.

Sizes are, 7, 6, 4 || 7 * 6 * 4 = 168 cm^3

pochemuha2 years ago

3 0

Answer:

Volume of cube = 216cm^3

Volume of box = 168cm^3

Step-by-step explanation:

Cube:

6 x 6 = 36

36 x 6 = 216

Box:

7 x 6 = 42

42 x 4 = 168

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Please help solve this system of equations

stepan [7]

Make a substitution:

$\begin{cases}u=2x+y\\v=2x-y\end{cases}$

Then the system becomes

$\begin{cases}\dfrac{2\sqrt[3]{u}}{u-v}+\dfrac{2\sqrt[3]{u}}{u+v}=\dfrac{81}{182}\\\\\dfrac{2\sqrt[3]{v}}{u-v}-\dfrac{2\sqrt[3]{v}}{u+v}=\dfrac1{182}\end{cases}$

Simplifying the equations gives

$\begin{cases}\dfrac{4\sqrt[3]{u^4}}{u^2-v^2}=\dfrac{81}{182}\\\\\dfrac{4\sqrt[3]{v^4}}{u^2-v^2}=\dfrac1{182}\end{cases}$

which is to say,

$\dfrac{4\sqrt[3]{u^4}}{u^2-v^2}=\dfrac{81\times4\sqrt[3]{v^4}}{u^2-v^2}$

$\implies\sqrt[3]{\left(\dfrac uv\right)^4}=81$

$\implies\dfrac uv=\pm27$

$\implies u=\pm27v$

Substituting this into the new system gives

$\dfrac{4\sqrt[3]{v^4}}{(\pm27v)^2-v^2}=\dfrac1{182}\implies\dfrac1{v^2}=1\implies v=\pm1$

$\implies u=\pm27$

Then

$\begin{cases}x=\dfrac{u+v}4\\\\y=\dfrac{u-v}2}\end{cases}\implies x=\pm7,y=\pm13$

(meaning two solutions are (7, 13) and (-7, -13))

8 0

2 years ago

Given b(x) = (x+41, what is b—10)? a)-10 b)-6 c)6 d)14

Yakvenalex [24]

Answer:

choice c. x = 6

Step-by-step explanation:

b(x) = (x+41, what is b—10)

it looks like b = x + 4

b = 10, then

10 = x + 4,

x = 6

4 0

2 years ago

What is the slope between (14,-8) and (7,-6)

djyliett [7]

Answer:

$- \frac{2}{7}$

Step-by-step explanation:

Slope formula:

$\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }$

where (x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate

Slope

$= \frac{ - 8 - ( - 6)}{14 - 7}$

$= \frac{ - 8 + 6}{7}$

$= - \frac{2}{7}$

3 0

2 years ago

What is the surface area of a cube that has a radius of 9 ft and height of 3 ft

aalyn [17]

Answer:

If it has a radius of 9 then the length will be 18 and it would be a 18 by 3 shape and that's not a cube....

Step-by-step explanation:

7 0

2 years ago

Look at the diagram below... I need help!

sdas [7]

If < 3 is 36 than the one across is also 36. You can calculate the < next to a given one, by subtracting it by 180.
A: < 1 is 36 degrees and < 4 is 144 degrees.
B: X=47

I found B by setting the values as equal and solving (In the picture).

Hope this helped!

7 0

2 years ago

A cube with side of 6cm or a rectangular box of 7cm by 6cm by 4cm . find the volume​

A cube with side of 6cm or a rectangular box of 7cm by 6cm by 4cm . find the volume