(05.07 mc)

the net of a square pyramid is shown:

what is the surface area of the figure?

0.65 square inch
0.50 square inch
0.40 square inch
0.25 square inch

  0.65 square inch

Step-by-step explanation:

Each triangle has an area given by ...

  A = 1/2bh = 1/2·(0.5 in)(0.4 in) = 0.10 in²

The square base has an area given by ...

  A = s² = (0.5 in)² = 0.25 in²

The total area is that of the square base and 4 triangles:

  S = 0.25 in² + 4×0.10 in² = 0.65 in²

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

i believe the answer is letter c) 8

step-by-step explanation: