It looks like you're asking for the formula for the volume or surface area of a triangular base pyramid, but I don't see the options (a, b, c, d) listed. Could you provide them?

Based on the given dimensions, here’s the formula you might be looking for:

Volume of a Triangular Base Pyramid:

$V = \frac{1}{3} \times A_{\text{base}} \times h$ Where:

• $A_{\text{base}}$ is the area of the triangular base.
• $h$ is the height of the pyramid (perpendicular distance from the base to the apex).

Area of the Base Triangle:

Since the base of the pyramid is a triangle with a base of 6 cm and a height of 3 cm, the area $A_{\text{base}}$ of the triangle is: $A_{\text{base}} = \frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 6 \, \text{cm} \times 3 \, \text{cm} = 9 \, \text{cm}^2$

Volume of the Pyramid:

Now that we know the base area is 9 cm², to calculate the volume of the pyramid, we need the height of the pyramid itself. If you have that height value, we can complete the calculation.

Feel free to provide the missing details or select an option! Let me know if you want further details or clarifications.

5 Follow-up Questions:

1. How do you calculate the surface area of a triangular pyramid?
2. What changes if the base of the triangle is an equilateral triangle?
3. How do you determine the slant height of a pyramid?
4. What is the formula for the surface area of a pyramid with a square base?
5. How do you calculate the volume of a pyramid with a rectangular base?

Tip: Always double-check if you’re dealing with the height of the pyramid or the height of the base triangle. These two values are crucial for different calculations.