https://file.aiquickdraw.com/mathbot/file/1726301537675sumaakfv.jpg

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

The figure in the image appears to be a pyramid, and to find its volume, we can use the formula for the volume of a pyramid:

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

### Step 1: Calculate the base area.
The base is a rectangle with dimensions 22 m by 21 m.

\[
\text{Base Area} = 22 \, \text{m} \times 21 \, \text{m} = 462 \, \text{m}^2
\]

### Step 2: Use the height of the pyramid.
The given height of the pyramid is 35 m.

### Step 3: Calculate the volume.
Now, substitute the base area and height into the volume formula:

\[
V = \frac{1}{3} \times 462 \, \text{m}^2 \times 35 \, \text{m}
\]

Let me calculate that for you.The volume of the pyramid is **5,390 m³**.

Would you like more details or have any questions about this solution?

Here are 5 related questions to expand your knowledge:

1. How would you find the volume if the base were triangular instead of rectangular?
2. What is the significance of the factor \(\frac{1}{3}\) in the volume formula for pyramids?
3. How would the volume change if the height of the pyramid were doubled?
4. Can you calculate the surface area of this pyramid, including the slant height?
5. How would you approach the problem if the base were a different shape, like a pentagon?

**Tip**: Always verify the units when calculating volumes and areas to ensure consistency throughout the problem.

Find the volume of the pyramid with a rectangular base (22 m by 21 m) and a height of 35 m.

Learn how to calculate the volume of a rectangular pyramid with a base of 22 m by 21 m and a height of 35 m. This problem involves using the formula for the volume of a pyramid, V = (1/3) * Base Area * Height, and is suitable for students in Grades 7-9.

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