What is the volume of the following rectangular prism?

The volume of the rectangular prism is 13 1/2 units².

Step-by-step explanation:

Given: Width = 5/2 units

Area of one face 27/5 units²

The volume of a rectangular prism follows the formula , where l is the length, w is the width, and h is the height.

However, we don't need to determine the length and the height of the prism since the area of the length x height is already given - 27/5 units².

So, we can just multiply V = (5/2)(27/5) = 13 .

Hope this helps. :D

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

can someone answer this question plz

step-by-step explanation: