The area of the base of the cube, b, is square units. the volume of the cube is square units

Check attached picture.

Step-by-step explanation:

Given that side length of the cube = b

We know that base of cube is a square.

So area of base = (length)(with)=(b)*(b)

or

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Volume of cube = (Lenght)(width)(hight)=(b)(b)(b)

or

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Given b=2h

divide both sides by 2

then

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From picture we can see that there are "6" square pyramids with the same base and height that exactly fill the given cube.

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So area of 1 pyramid can be found by dividing total volume of the cube by 6

so we get volume of 1 pyramid

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.