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

Answer 1

To find the volume of a pyramid-shaped bottle, you can use the formula for the volume of a pyramid:

$$V=\frac{1}{3}\times \text{Base Area}\times \text{Height}$$

1. Calculate the area of the base: The base is a rectangle with dimensions 8 cm by 15 cm.

   $$\text{Base Area}=8,\text{cm}\times 15,\text{cm}=120,{\text{cm}}^2$$

2. Use the height (altitude): The altitude of the pyramid is given as 22 cm.

3. Calculate the volume: Now, plug the base area and height into the volume formula:

   $$V=\frac{1}{3}\times 120,{\text{cm}}^2\times 22,\text{cm}$$ $$V=\frac{1}{3}\times 2640,{\text{cm}}^3$$ $$V=880,{\text{cm}}^3$$

Therefore, the bottle will hold 880 cm³ of juice.