Simple and easy question
please help

Total volume of the figure = 1067 cm³

Step-by-step explanation:

Volume of the composite figure = Volume of the rectangular prism + Volume of the square pyramid

Volume of the rectangular prism = Length × Width × Height

                                                      = 10 × 10 × 7

                                                       = 700 cm³

Volume of the square pyramid =

                                                   = × height

                                                   =

                                                   = 366.67 cm³

Total volume of the composite figure = 700 + 366.67 = 1066.67 cm³

                                                                                          ≈ 1067 cm³

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."