Some ice sculptures are made by filling a mold with water and then freezing it. A pyramid shaped mold has a height that is 1 foot greater than the length of each side of its square base. The volume of the ice sculpture is 4 cubic feet. What are the dimensions of the mold

The dimensions of the base of the mood is square, given by 2 ft by 2 ft

And the height of the mood = 3 ft.

Explanation:

Volume of a pyramid = (1/3)(Area of base)(perpendicular height)

Let the length of the square base be b

Let the perpendicular height be h

Area of base = b²

Perpendicular height = h = b+1

Volume of the pyramid = 4 ft³

4 = (1/3)(b²)(b+1)

12 = b²(b+1)

b³ + b² = 12

b³ + b² - 12 = 0

Solving the polynomial,

b = 2 ft or -1.5 ft

And since dimensions cannot be negative,

b = 2 ft.

The height of the mood = b + 1 = 3 ft

answer; the cubism of picasso and braque;

sorry. my computer broke down and i had about 3 doctor's appointments. i'm just catching up now after reinstalling a router.

i think you best answer to this is d. some film directors were very picky about roles and lighting and and which side of the face the camera should catch. they were also picky about sound and background noise and chatter and music and all sorts of what we would consider trivial things. a stage director has to have all this ironed out before the curtain goes up. if he doesn't he better do it soon. if he doesn't notice, critics soon will, and they are not a very nice bunch.

e: both have the power to ask for rewrites. theater directors are always yammering about act 2.

c is true. both can ask for any number of things during rehearsals. the reason i wouldn't pick c is because a film director can make changes anytime during shooting, including when he thinks they ought to be done shooting.

b i didn't know what blocking was and i can't find a good description. if you have one and think b is true, go for it.

a a film director quite frequency chooses the leading lady or man. he may not have the final word, but he chooses. sometimes a theater director has no choice. a is generally not true.