https://file.aiquickdraw.com/mathbot/file/1726301236516sj4kw0pp.jpg

Answers to choose: 767.25 cm^ 3 31.25 cm^ 3 330 in^ 3 80 cm^3  5 390 m^3

To find the volume of the pyramid in the image, we can use the formula for the volume of a pyramid:

\[
V = \frac{1}{3} \times B \times h
\]

Where:
- \( V \) is the volume.
- \( B \) is the area of the base.
- \( h \) is the height of the pyramid (perpendicular distance from the base to the apex).

### Step 1: Calculate the Area of the Base
The base of this pyramid is a rectangle with dimensions:
- Length \( l = 8 \, \text{cm} \)
- Width \( w = 3 \, \text{cm} \)

The area of the base \( B \) is:

\[
B = l \times w = 8 \, \text{cm} \times 3 \, \text{cm} = 24 \, \text{cm}^2
\]

### Step 2: Use the Pyramid Volume Formula
The height \( h \) of the pyramid is given as \( h = 10 \, \text{cm} \).

Now, using the volume formula:

\[
V = \frac{1}{3} \times 24 \, \text{cm}^2 \times 10 \, \text{cm}
\]

Let me calculate the result for you.The volume of the pyramid is \( 80 \, \text{cm}^3 \).

Would you like more details or have any further questions?

Here are 5 related questions for further exploration:
1. How would the volume change if the height was doubled?
2. What would happen to the volume if the base was a square instead of a rectangle?
3. Can the same formula for the volume be applied to a cone? If so, how?
4. How is the surface area of this pyramid calculated?
5. How would the volume change if the base dimensions were halved?

**Tip:** For any pyramid, as long as the base is a polygon (not necessarily a rectangle), you can use the same volume formula—just make sure to calculate the correct area of the base.

Find the volume of the pyramid with a rectangular base of 8 cm by 3 cm and a height of 10 cm.

Learn how to calculate the volume of a rectangular pyramid with a base measuring 8 cm by 3 cm and a height of 10 cm. Using the pyramid volume formula V = (1/3) * Base Area * Height, this step-by-step guide is perfect for students in grades 6-8.

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