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Question

1.    the volume of a cube with a surface of 384 in^2 is ____ in^3.

 

 

2.    for all positive integers m, m = 2m^2 +1. what is the value of x if x = 45,001?

 

 

3. write an algebra expression to represent the verbal expression the square of the sum of a number and three.

 

 

4. evaluate 2.4 x 10^9 / 1.6 x 10^-2. 

 

 

Answer 1

1)

 

A cube has sides of equal length.  The surface area of a cube is

 

SA = 6(side)²

 

6(side)² = 384

 

  side² = 64

 

  side = 8 in

 

 

Then volume of cube is

 

V = (side)³

 

where the side was obtained from the area.

 

 

2)

 

(x + 3)²

 

 

3)

 

Divide the coefficients.  Keep the base of 10.   Subtract the exponents of the base 10.