Question

what is the volume? 16 cm 12 cm 8 cm cubic centimeters submit

Explanation:

Step1: Calculate the base area of the triangular base

The base is a triangle with base \(b = 12\) cm and height \(h=16\) cm. The area of a triangle \(A=\frac{1}{2}\times b\times h\).

$$A=\frac{1}{2}\times12\times16 = 96\space cm^{2}$$

Step2: Calculate the volume of the triangular prism

The volume of a prism \(V=A\times l\), where \(A\) is the base - area and \(l\) is the length (or height of the prism). Here \(l = 8\) cm.

$$V=96\times8=768\space cm^{3}$$

Answer:

\(768\)