Question

find the volume of the solid below.

Explanation:

Step1: Calculate the volume of the upper cuboid

The formula for the volume of a cuboid is \(V = l\times w\times h\). For the upper cuboid, \(l = 8\space cm\), \(w=3\space cm\), \(h = 6\space cm\).
\(V_1=8\times3\times6=144\space cm^3\)

Step2: Calculate the volume of the lower cuboid

For the lower cuboid, \(l = 4\space cm\), \(w = 3\space cm\), \(h = 8\space cm\)
\(V_2=4\times3\times8 = 96\space cm^3\)

Step3: Calculate the total volume

The total volume \(V=V_1 + V_2\)
\(V=144+96=240\space cm^3\)

Answer:

\(240\space cm^3\)