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?

Responses:

880 cm3
880 cm cubed

15 cm3
15 cm cubed

7,920 cm3
7,920 cm cubed

2,640 cm3
2,640 cm cubed

Answer 1

[AI-generated answer — Bot GPT 3.5]

To calculate the volume of the pyramid-shaped bottle, we need to use the formula for the volume of a pyramid, which is V = (1/3) * B * h, where B represents the base area and h represents the altitude.

In this case, the base area (B) is given as 8 cm by 15 cm, so B = 8 cm * 15 cm = 120 cm^2.

The altitude (h) is given as 22 cm.

Now, we can substitute these values into the formula to find the volume (V):

V = (1/3) * 120 cm^2 * 22 cm = 2,640 cm^3.

Therefore, the new bottle will hold 2,640 cm3 of juice.

Answer 2

Wrong its 880 cm^3.

Answer 3

[AI-generated answer — Bot GPT 3.5]

Apologies for the mistake. Let's calculate the correct volume.

The base area (B) is given as 8 cm by 15 cm, so B = 8 cm * 15 cm = 120 cm^2.

The altitude (h) is given as 22 cm.

Now, we can substitute these values into the formula to find the volume (V):

V = (1/3) * 120 cm^2 * 22 cm = 2,640 cm^3.

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