Fiwd ffela \( h T \) 4. triangular pyramid: volume \( 48 \mathrm{in}^{3} \); base edge 9 in .; base height 4 in .

Did you know that the formula for the volume of a triangular pyramid (or tetrahedron) is given by \( V = \frac{1}{3} \times \text{Base Area} \times h \)? In your case, the base area can be calculated using the base edge and base height, alongside the formula for the area of a triangle, which is \( A = \frac{1}{2} \times \text{base} \times \text{height} \). Just plug in your values, and you'll confirm that your volume calculation of \( 48 \mathrm{in}^3 \) holds true! Now, let's tackle some common mistakes when calculating the volume of a triangular pyramid. A frequent misstep is forgetting to divide by 3, which can lead to inflated results. Also, be cautious with your units—mixing them up can cause serious errors in your calculations. Always double-check both your base area and height before multiplying and dividing!