Suppose that an open box is to be made from a square sheet of cardboard by cutting out 4-inch squares from each corner as shown and then folding along the dotted lines.
If the box is to have a volume of 400 cubic inches, find the original dimensions of the
sheet of cardboard.

L = 18 inches

Step-by-step explanation:

if s is side length

400 = s•s•4

s² = 100

s = 10

so the original flat cardboard square has sides of

L =  10 + 4 + 4

L = 18 inches

answer: cos [   arcsin (3/5) - arccos (1/2) ] =

step-by-step explanation: × = 3/5 = 0.6--> x = 36.87 and x = 180 - 36.87 = 143.13 deg

cos y = 1/2 --> y = +- 60 deg a. cos (x - y) = cos (143.13 - 60) = cos 83,13  

=

0.12

b. cos (36.87 - 60) = cos (-23.23) = 0.92

step-by-step explanation: