A movie theater designs a bag of popcorn to hold 96 cubic inches of popcorn. Each bag is shaped as a rectangular prism. The base of the bag is 3 inches by 4 inches. What is the height of the bag?

B 8 inches

Bethany’s Bakery packs muffins in individually wrapped boxes. Each box is a cube, measuring 6 inches on each side. What is the volume of the box in cubic inches?

Responses
A 216 in³216 in³
B 36 in³36 in³
C 108 in³108 in³
D 172 in³

A 216 in³

A tea infuser in the shape of a right triangular pyramid is 8 cm tall and has a base area of 12 cm².

What is the volume of the tea infuser in cubic centimeters?
Responses
A 96 cm³96 cm³
B 192 cm³192 cm³
C 32 cm³32 cm³
D 48 cm³

D 48 cm³

The height of a rectangular prism is 12 inches and it's base is a rectangle with an area of 5 square inches. What is the volume of the prism in cubic inches?

Responses
A 30 in³30 in³
B 60 in³60 in³
C 45 in³45 in³
D 20 in³

C 60 in³

Jethro wants a swimming pool in his backyard, so he digs a rectangular hole with dimensions 40 feet long, 20 feet wide, and 5 feet deep. How many cubic feet of water will the pool hold?

Responses
A 65 cubic feet of water65 cubic feet of water
B 8000 cubic feet of water8000 cubic feet of water
C 4000 cubic feet of water4000 cubic feet of water
D 40,000 cubic feet of water40,000 cubic feet of water

C 4000 cubic feet of water

wrong

I apologize for the error. The correct calculation is as follows:

The volume of a rectangular prism is given by the formula: V = l x w x h (where l = length, w = width, and h = height)

In this case, the length (l) of the pool is 40 feet, the width (w) is 20 feet, and the depth (h) is 5 feet.

Therefore, the volume of the pool is:
V = 40 x 20 x 5
V = 4000 cubic feet

Therefore, the pool will hold 4000 cubic feet of water.

The correct answer is C 4000 cubic feet of water.