The square pyramid at the entrance to the
Louvre Museum in Paris, France, is zoom in
35.42 meters wide and 21.64 meters tall.
Find the volume of the Louvre Pyramid.

Question

The square pyramid at the entrance to the Louvre Museum in Paris, France, is zoom in 35.42 meters wide and 21.64 meters tall. Find the volume of the Louvre Pyramid.

UpStudy AI · Accepted Answer

To calculate the volume of the Louvre Pyramid, which is a square pyramid, you can use the formula:

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

**Given:**
- **Base width (side length), $$ s $$** = 35.42 meters
- **Height, $$ h $$** = 21.64 meters

**Step 1: Calculate the Base Area**

Since the base is a square:

$$
\text{Base Area} = s^2 = 35.42^2 = 1254.58 \, \text{m}^2
$$

**Step 2: Calculate the Volume**

$$
\text{Volume} = \frac{1}{3} \times 1254.58 \, \text{m}^2 \times 21.64 \, \text{m}
$$

$$
\text{Volume} = \frac{1}{3} \times 27149.03 \, \text{m}^3
$$

$$
\text{Volume} \approx 9049.68 \, \text{m}^3
$$

**Rounded to the nearest whole number:**

$$
\text{Volume} \approx 9,050 \, \text{cubic meters}
$$

**Conclusion:**

The volume of the Louvre Pyramid is approximately **9,050 m³**.
The volume of the Louvre Pyramid is approximately 9,050 cubic meters.

The square pyramid at the entrance to the
Louvre Museum in Paris, France, is zoom in
35.42 meters wide and 21.64 meters tall.
Find the volume of the Louvre Pyramid.

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