Find the total surface area of this triangular prism. height=24cm
width=14cm
length=10cm
slant height=25cm

If the picture below is the triangular prism

976

Step-by-step explanation:

14 x 24 = 336 [It's a triangle you would half it but then as there are 2 you would keep it the same]

10 x 25 = 250 [Times by 2 because there are 2 of them]

10 x 14 = 140

336 + 250 + 250 + 140 = 976

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

step-by-step explanation:

sry but any answer choices