Question

find the volume of this prism.
6 m
4 m
8 m
volume of a prism
v = bh
v = ? m³

Explanation:

Step1: Calculate the base area \( B \)

The base is a rectangle with length \( l = 8\) m and width \( w = 4\) m. The area of a rectangle is \( B=l\times w\). So, \( B = 8\times4=32\) \(m^{2}\).

Step2: Use the volume formula \( V = Bh \)

Here, \( h = 6\) m (height of the prism). Substitute \( B = 32\) \(m^{2}\) and \( h = 6\) m into the formula \( V=Bh\). Then \( V=32\times6\).

Step3: Compute the final result

\( V = 32\times6=192\) \(m^{3}\).

Answer:

\(192\)