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)

15 cm³

2,640 cm³

0880 cm³

7,920 cm³

Answer 1

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

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

First, we need to calculate the area of the base, which is a rectangle with dimensions 8 cm by 15 cm:

\[
\text{Base Area} = \text{length} \times \text{width} = 8 \, \text{cm} \times 15 \, \text{cm} = 120 \, \text{cm}^2
\]

Next, we take the height (altitude) of the pyramid, which is given as 22 cm.

Now, we can plug these values into the volume formula:

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

Thus, the volume of the bottle is **880 cm³**.

The correct answer is:
**880 cm³**