Question

what is the volume of this triangular pyramid?
2 ft
4 ft
3 ft
____ cubic feet
save answer

Explanation:

Step1: Find base triangle area

The base is a right triangle, so area is $\frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 4 \times 2 = 4$ square feet.

Step2: Apply pyramid volume formula

Volume of a pyramid is $\frac{1}{3} \times \text{base area} \times \text{pyramid height}$. Substitute values: $\frac{1}{3} \times 4 \times 3$

Step3: Calculate final volume

Simplify the expression: $\frac{1}{3} \times 12 = 4$

Answer:

4 cubic feet