Question

find the volume of the figure
the volume of the figure is
(round to the nearest whole number as needed.)

Explanation:

Step1: Calculate the base area

The base is a triangle. The area formula for a triangle is \(A=\frac{1}{2}\times base\times height\). Here, the base of the triangle \(b = 8\space cm\) and the height of the triangle \(h=3\space cm\). So, \(A=\frac{1}{2}\times8\times3= 12\space cm^{2}\)

Step2: Calculate the volume of the triangular prism

The volume formula for a prism is \(V=A\times H\), where \(A\) is the base - area and \(H\) is the height of the prism. Given \(H = 7\space cm\) and \(A=12\space cm^{2}\). Then \(V=12\times7 = 84\space cm^{3}\)

Answer:

\(84\)