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yulyashka [42]
1 year ago
14

Can anyone math experts help and guide me through these questions❓

Mathematics
2 answers:
Lubov Fominskaja [6]1 year ago
4 0

Step-by-step explanation:

The volume of a cube is

a {}^{3}

where a is the side length,

Note: If you want to remember this formula, know that a cube is basically a bunch of squares stacked on one another vertically and horizontally

The area of a square with side length a, is

{a}^{2}

If we multiply that by the height of the cube, which is a.

{a}^{2}  \times a =  {a}^{3}

That is the easy way to derive the formula of the volume of a cube.

Back on track, we know the volume so we must solve for a.

1.

125 =  {a}^{3}

Assuming you took algebra, to isolate the variable a, we must undo it being raised to the third power.

To do this, we take the cube root of both sides

\sqrt[3]{125}  =  \sqrt[3]{a {}^{3} }

The cube root of 125 is 5 so

5 = a

5 cm

2.

8 =   {a}^{3}

\sqrt[3]{8}  =  \sqrt[3]{ {a}^{3} }

2 = a

2 ft

3.

343 =  {a}^{3}

a = 7

7 yd

4.

1000 = a {}^{3}

10 = a

10 mm

5.

1728 =  {a}^{3}

a = 12

12 in. or 1 ft

6.

1 =  {a}^{3}

a = 1

1 m

lisabon 2012 [21]1 year ago
3 0

Answer:

A cube can be seen as a square that has been 'stretched'. We know that all four sides of a square are equal, thus, the sides of the faces of a cube are also equal.

In order to find the volume of a cube, the formula we apply is length x width x height (lwh).

Since all the sides are the same, another formula for the volume of the cube can be written as volume = x^3 in which x stands for the length of each side. When plugging in the formula:

1) V = 125 cm^3

   125 = x^3

   ∛125 = x

    5 = x

When finding the cube root, you can use a calculator or fingure out the answer yourself by multiplying any number by itself three times.

2) 8 = x^3

   ∛8 = x

      2 = x

3) 343 = x^3

 ∛343 = x

        7 = x

4) 1000 = x^3

 ∛1000 = x

         10 = x

5) 1728 = x^3

  ∛1728 = x

    12 = x

6) 1 = x^3

   ∛1 = x

      1 = x

Make sure to include the appropriate unit for each answer

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"a" would also be the Y intercept, which is where the graph touches or crosses the Y axis. In the given graph, the curved line touches the Y axis at 100, so the value of a would be 100.

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