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Find the volume of the pyramid. Show all work.

Find the volume of the pyramid. Show all work.

Answer

The formula for the volume of a pyramid is V = \( \frac{1}{3} Bh \), where B is the area of the base and h is the height of the pyramid.

  1. Given: B = 63 \( \text{mm}^2 \) and h = 12 mm.
  2. Substitute the given values into the formula:
  3. \( V = \frac{1}{3} \times 63 \times 12 \)
  4. \( V = \frac{1}{3} \times 756 \)
  5. \( V = 252 \text{ mm}^3 \)

The volume of the pyramid is 252 mm3.

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