A tissue box has a length of 10 inches, a width of 6 inches, and a height of 3 inches. What is the volume of the tissue box? A. 216 cubic inches B. 360 cubic inches C. 180 cubic inches D. 108 cubic inches

C. 180 cubic inches

Step-by-step explanation:

Given: A tissue box has a length of 10 inches, a width of 6 inches, and a height of 3 inches.

Volume = Length x width x height

The volume of the tissue box = 10 inches x 6 inches x 3 inches

i.e. The volume of the tissue box = 180 cubic inches.

Hence, the volume of the tissue box = 180 cubic inches.

-10i^2-4i

step-by-step explanation:

evaluate for p=2,q=5i

(2−4)(2+5i)i

(2−4)(2+5i)i

=−10i2−4i

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