What is the volume of a cubes whose total surface area is 150 square feet? ?

The volume of a cube whose total surface area is 150 sq. ft. is 125 cubic feet.

Step-by-step explanation:

Set up an equation that shows the relation between the side length L of the cube and its surface S:

The side length of a cube with an area of 150 sq. ft is 5 ft. Now we can easily calculate the volume V:

The volume of a cube whose total surface area is 150 sq. ft. is 125 cubic feet.

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."