Question

J Juice brand wants to create a new bottle for their products. Their marketing department wants to design a pyramid–shaped bottle with a base that is 8 cm by 15 cm, and has an altitude of 22 cm. How much juice will this new bottle hold?(1 point)

Responses

7,920 cm3
7,920 cm cubed
2,640 cm3
2,640 cm cubed
880 cm3
880 cm cubed
15 cm3

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the volume of the pyramid-shaped bottle, we use the formula V = (1/3) * base area * altitude.

The base area is calculated by multiplying the lengths of the base's sides and dividing by 2: (8 cm * 15 cm) / 2 = 120 cm^2.

The altitude is 22 cm.

Plugging these values into the volume formula:
V = (1/3) * 120 cm^2 * 22 cm = 2,640 cm^3.

Therefore, the new bottle will hold 2,640 cm^3 of juice.

Answer 2

A construction company is digging a drainage trench. It makes the shape of an upside-down rectangular pyramid. The top opening will be 30 ft. wide by 250 ft. long, and the deepest part in the middle will be 15 ft. What is the capacity for this trench?(1 point)

Responses

98.33 ft.3
98.33 feet cubed
337,500 ft.3
337,500 feet cubed
112,500 ft.3
112,500 feet cubed
37,500 ft.3

Answer 3

[AI-generated answer — Bot GPT 3.5]

To find the capacity of the trench, we need to calculate the volume of the upside-down rectangular pyramid.

To do this, we use the formula V = (1/3) * base area * height.

The base area is calculated by multiplying the lengths of the top opening's sides: 30 ft * 250 ft = 7,500 ft^2.

The height is given as 15 ft.

Plugging these values into the volume formula:
V = (1/3) * 7,500 ft^2 * 15 ft = 112,500 ft^3.

Therefore, the capacity of the trench is 112,500 ft^3.