If x = 6 cm, what is the surface area of the geometric shape formed by this net?

a. 144 square cm.
b. 432 square cm.
c. 216 square cm
d. 576 square cm

explain because these still stump me

the answer is D.  576 square cm

Step-by-step explanation:

Find the area of one of the rectangular faces using the formula, Area = lw.

A = (12 cm) (6 cm)

A = 72 square cm

Since there are 4 rectangular faces, multiply the area of one rectangular face by 4 to get a total of 288 square cm.

The area of one of the congruent squares is 12 cm × 12 cm, or 144 cm2. Multiply 144 cm2 by 2 to get a total of 288 cm2.

To find the surface area of the rectangular prism, add the area of the four rectangular faces to the area of the two square faces.

288 square cm + 288 square cm = 576 square cm

the value of v.w= -12.

step-by-step explanation:

we are given three vector r,v and w as:

r = < 5, -5, -2> ; v = < 2, -8, -8> ; w = < -2, 6, -5>

we know that r,v and w could also be represented as:

r=5i-5j-2k

v=2i-8j-8k

and w= -2i+6j-5k

where i,j and k are the unit vectors of x,y and z-axis respectively.

also we know that it has the following property:

i.i=1 ; j.j=1; k.k=1

and i.=j.i=i.k=k.i=j.k=k.j=0

i.e. when we multiply two vectors or we find it's dot product we need to only multiply the components of x coordinates with each other; y with each other and z with each other.

hence, v.w= (2i-8j- -2i+6j-5k)

                  = 2×(-2)+(-8)×(6)+(-8)×(-5)

                  = -4-48+40

                  = -12

hence, v.w= -12