Surface area of cube = 6 * (side)^2
side^2 = surface area / 6
side = sqrt (surface area / 6)
For the cube with area 1200 square inches:
side = sqrt(surface area / 6)
side = sqrt(1200 / 6)
side = 14.1421 inches
For the cube with area 768 square inches:
side = sqrt(surface area / 6)
side = sqrt(768 / 6)
side = 11.3137 inches
difference between the two lengths = 14.1421 - 11.3137 = 2.8284 inches
Based on the above calculations, the side of the cube with surface area 1200 square inches is 2.8284 inches longer than the side of the cube with surface area 768 square inches
The measurement of angle a plus 120 must equal to 180 ( as angles on a straight line must equal to 180)
So measurement of angle a is 60 degrees
Measurement of angle b plus 60 plus 60 must equal to 180
So measurement of angle b is 60
Answer:
9 sqrt(2) /2 = PQ
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp/ hypotenuse
sin 45 = PQ = 9
9 sin 45 = PQ
9 sqrt(2) /2 = PQ
