A cube of length 7 cm is painted on all its faces. What is the total surface area of the painted surfaces?

294

Step-by-step explanation:

To find the surface area of a cube, first we need to realize that a cube, on its surface, is made up of 6 squares forming a box. That means that all we need to do is find the surface area of one of those squares, and multiply it by 6. So what we do is take side length 7, and square it, giving us 49. Then, we multiply that by 6 giving us 294. The formula for this, in short, is y=6a^2, y being the total surface area and a being a side length, in this case 7.

Hope this helps!! (and brainliest is always appreciated <3)

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:

point a is the center of the circle that passes through points e, f, and g and the center of the circle that passes through points x, y, and z.