Samantha is painting the outside of a box that is in the shape of a rectangular prism. it’s length is 18cm, it’s width is 6 cm, and it’s height is 3cm. what is the surface area of the box in square cm?

a. 162 cm squared
b. 180 cm squared
c. 324 cm squared
d. 360 cm squared

D. 360 cm squared

Explanation:

Multiply each faces edges.

18x7(WxL)

3x6(HxW)

3x18(HxL)

multiply each equations answer by 2, because the opposite face is the same.

108x2=216

18x2=36

54x2=108

add these together to get 360 cm squared.

Y = 9x^2 + 5

Use the change rule:

dy / dt = [dy / dx] * [dx / dt]

dy / dx = 18x

and dx / dt = constant = 2 cm / s

Then dy / dt =  [18 x] * 2 = 2*18x = 36x

(a) x = -1
dy/dt = 36(-1) = - 36 cm/sec

(b) x = 0
dy/dt = 36(0) = 0 cm/sec

(c) x = 3
dy/dt =36(3) =  108 cm/sec