TRICKY MATHS QUESTION HEELP?

1 m² = 10000 cm²

Hence, 7 m² = 7 x 10000 = 70000 cm²

ii) 1 cm² = 100 mm²

So, 4 cm² = 4 x 100 = 400 mm²

The way I like to solve these is by finding what its one-dimensional number is. But there are ppl who like to solve it by multiplying the number by a certain number for the conversion. If you just want to figure out the conversion number, then you do have to learn how you can get that number by my way.

So let's pretend that 7 m^2 is an area of a square, and you want to find the length of the sides. The area of a square is just the length of the side multiplied by the same number.

A = x^2

In this case, x = 7 m

A = (7 m)^2

To find the length of the sides, you have to square root it to find L (length)

L = 2.646 m

Now convert your length to centimeter, which is just multiplying the length by 100.

L = 264.6 cm

Now you can find the area of the square in cm^2 by squaring the number.

A = 70,000 cm^2

For your second question, you would almost go through the same process only that you are trying to find the cubic number. So let's pretend this time, you are given the area of one side of a cube in cm^2, but they are asking you to find the volume now in mm^3.

The area of one side of the cube is:

A = 4 cm^2

Therefore, the length of each edge of the cube is:

L = 2 cm

Now convert cm to mm by multiplying by 10.

L = 20 mm

Now you can find the volume of your cube.

V = L^3

V = (20 mm)^3

V = 8000 mm^3

I hope you understand. Other people might just give you the conversion number, but why multiply by that conversion number? The answer to that question is looking it through my way.

7m^2 = 7m * 7m = 7m(100cm/1m) * 7m(100cm/1m) = 700 * 700 = 490000cm^2

Second question makes no sense. You can't convert an area to a volume.