What is the volume of a square pyramid with a side length of 15.2 centimeters and a
height of 9.6 centimeters? Round to the nearest hundredth.

Question

What is the volume of a square pyramid with a side length of 15.2 centimeters and a height of 9.6 centimeters? Round to the nearest hundredth.

UpStudy AI · Accepted Answer

To find the volume of a square pyramid, you can use the formula:

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

Given:
- **Side length of the base (a)** = 15.2 cm
- **Height (h)** = 9.6 cm

1. **Calculate the Base Area:**
   
   $$
   \text{Base Area} = a^2 = (15.2 \, \text{cm})^2 = 231.04 \, \text{cm}^2
   $$

2. **Calculate the Volume:**
   
   $$
   \text{Volume} = \frac{1}{3} \times 231.04 \, \text{cm}^2 \times 9.6 \, \text{cm} = \frac{1}{3} \times 2217.984 \, \text{cm}^3 = 739.328 \, \text{cm}^3
   $$

3. **Round to the nearest hundredth:**
   
   $$
   \text{Volume} \approx 739.33 \, \text{cm}^3
   $$

**Final Answer:**
The volume of the square pyramid is approximately **739.33 cm³**.
The volume of the square pyramid is approximately **739.33 cm³**.

What is the volume of a square pyramid with a side length of 15.2 centimeters and a
height of 9.6 centimeters? Round to the nearest hundredth.

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