Questions: Calculate the volume of the pyramid; round to the nearest tenth if necessary.

Calculate the volume of the pyramid; round to the nearest tenth if necessary.
Transcript text: Calculate the volume of the pyramid; round to the nearest tenth if necessary.
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Solution

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Solution Steps

To calculate the volume of a pyramid, we use the formula: \[ V = \frac{1}{3} \times \text{Base Area} \times \text{Height} \] We need to know the base area and the height of the pyramid. Once we have these values, we can plug them into the formula and compute the volume.

Step 1: Calculate the Volume

To find the volume \( V \) of the pyramid, we use the formula: \[ V = \frac{1}{3} \times \text{Base Area} \times \text{Height} \] Given that the base area is \( 50 \, \text{mm}^2 \) and the height is \( 30 \, \text{mm} \), we substitute these values into the formula: \[ V = \frac{1}{3} \times 50 \times 30 \]

Step 2: Perform the Calculation

Calculating the volume: \[ V = \frac{1}{3} \times 1500 = 500 \]

Step 3: Round the Result

The calculated volume is \( 500 \, \text{mm}^3 \). Since it is already a whole number, rounding to the nearest tenth gives: \[ V \approx 500.0 \, \text{mm}^3 \]

Final Answer

\(\boxed{V = 500.0 \, \text{mm}^3}\)

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