Question

what is the volume of this triangular pyramid? 18 cm 15 cm 20 cm cubic centimeters

Explanation:

Step1: Calculate the base area

The base is a right - triangle with legs \(a = 15\) cm and \(b=20\) cm. The area of a triangle is \(A=\frac{1}{2}ab\).

$$A=\frac{1}{2}\times15\times20 = 150\space cm^{2}$$

Step2: Use the volume formula for a pyramid

The volume formula for a pyramid is \(V=\frac{1}{3}Ah\), where \(A\) is the base area and \(h = 18\) cm is the height.

$$V=\frac{1}{3}\times150\times18$$

$$V = 150\times6$$

$$V=900\space cm^{3}$$

Answer:

\(900\)