Notice the picture
we have, the opposite side
the angle
and we want the hypotenuse
so recall your SOH CAH TOA

which one has all that? low and behold, is Ms Sine,
so let's bother Ms Sine

make sure your calculator is in Degree mode, since the angle here is in degrees, as opposed to Radian mode
The probability is 1/12.
There are two outcomes for flipping a coin and 6 for rolling a 6-sided number cube. The sample space is:
(H, 1), (H, 2), (H, 3), (H, 4), (H, 5), (H, 6)
(T, 1), (T, 2), (T, 3), (T, 4), (T, 5), (T, 6)
There are 12 total outcomes. Only one has heads and a 2, so the probability is 1/12.
Volume=Legnth times width times height
legnth=90
height=70
width=40
volume=90 times 40 times 70
volume=3600 times 70
volume=252000
answer is v=252,000 cm^3