Question

what is the volume of this triangular pyramid? 4.9 yd 7 yd 8.4 yd cubic yards submit

Explanation:

Step1: Calculate the base area

The base is a right - triangle with base \(b = 7\) yd and height \(h = 8.4\) yd. The area of a triangle is \(A=\frac{1}{2}\times b\times h\).

$$A=\frac{1}{2}\times7\times8.4 = 29.4$$

Step2: Use the volume formula for a pyramid

The volume formula for a pyramid is \(V=\frac{1}{3}\times A\times H\), where \(A\) is the base area and \(H\) is the height of the pyramid (\(H = 4.9\) yd).

$$V=\frac{1}{3}\times29.4\times4.9$$

$$V=\frac{1}{3}\times144.06$$

$$V = 48.02$$

Answer:

\(48.02\)