Volume of Pyramids Quick Check
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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
15 cm3
15 cm cubed
2,640 cm3
2,640 cm cubed
880 cm3
880 cm cubed
7,920 cm3
To find the volume of the pyramid-shaped bottle, you can use the formula: V = (1/3) * Bh, where B is the area of the base and h is the height or altitude of the pyramid.
In this case, the base of the pyramid is 8 cm by 15 cm, so the area of the base (B) is 8 cm * 15 cm = 120 cm².
Plugging the values into the formula, we get:
V = (1/3) * 120 cm² * 22 cm
V = (1/3) * 2640 cm³
V = 880 cm³
Therefore, the new bottle will hold 880 cm³ of juice.