What is the surface area of this design ?

Step-by-step explanation:

The formula to calculate the surface area of cuboid with dimensions l by w by h is given by :-

From the given picture, the dimensions of upper block (cuboid) is 5 in. by 5 in. by 8 in.

Then the surface area of the upper block is given by :-

Also, the dimensions of lower block (cuboid) is 10 in. by 10 in. by 2 in.

Then the surface area of the upper block is given by :-

Now, the surface area of design =

Hence, the the surface area of this design =

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."