HELPPP PLEASE 20 POINTS
What is the surface area of this design?

Option D:

The surface area of the design is 197 in².

Solution:

Area of the front face =

                                      = 35 in²

Area of back face =

                                      = 35 in²

Area of left side face = base × height

                                     = 5 × 5

                                     = 25 in²

Area of top face = base × height

                            = 5 × 5

                            = 25 in²

Area of bottom face = base × height

                            = 9 × 5

                            = 45 in²

Area of right side face = base × height

                            = 5 × 6.4

                            = 32 in²

Surface area of the design = 35 + 35 + 25 + 25 + 45 + 32

                                             = 197 in²

The surface area of the design is 197 in².

Option D is the correct answer.

8

step-by-step explanation:

just put √(2) * √(32) into a calculator. that will make the answer be 8.

hello from mrbilldoesmath!

answer:   (7x + 6y) ( 49x^2 - 42xy + 36y^2)

discussion:

in general, the factorization of a^3 + b^3 is

a^3 + b^ 3 = (a + b) ( a^2 - ab + b^2)

in our case note that 343 = 7^3 and 216 = 6^3 so the equation becomes:

343x^3 + 216y^3 = (7x)^3 + (6y)^3

if you think of a (above) as 7x and b as 6y the factorization becomes

343x^3 + 216y^3 =

((7x + 6y) (   (7x)^2 - 7x*6y + (6y)^2)   =

(7x + 6y) ( 49x^2 - 42xy + 36y^2)

you,

mrb

(a + b) (a^2 - a b + b^2)