Question

what is the volume of this triangular pyramid?
20 cm
15 cm
19 cm
cubic centimeters

Explanation:

Step1: Identify base area formula

Base is triangle: $Area = \frac{1}{2} \times base \times height = \frac{1}{2} \times 15 \times 19$

Step2: Calculate base area

$Area = \frac{1}{2} \times 15 \times 19 = 142.5$ cm²

Step3: Volume formula for pyramid

$Volume = \frac{1}{3} \times base\ area \times height = \frac{1}{3} \times 142.5 \times 20$

Step4: Compute final volume

$Volume = \frac{1}{3} \times 142.5 \times 20 = 950$

Answer:

950