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1.) 180 cubic meters

2.) 302 square centimeters

3.) 16.33 centimeters

Step-by-step explanation:

1.) Volume of pyramid is bh/3

Base is 6×6 Height is 15/3

Multiply to get 180.

2.) Two sides are 5×11=55 each. Two sides are 6×11=66 each, and the two ends are each 5×6=30.

Add 55+66+30=151 then multiply 151×2=302.

3.) V=bh.

Triangular base is ab/2. Given a is 10 and base (edge of square side) is 12.

10×12/2= 60. Divide that into the given Volume: 1080cm^3

1080÷60= 16.33cm^2

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

4400

step-by-step explanation: