Question

find the volume of the solid below. 6 cm 7 cm 8 cm 4 cm 8 cm 7 cm 3 cm

Explanation:

Step1: Calculate the volume of the left cuboid

The formula for the volume of a cuboid is \(V = l\times w\times h\). For the left cuboid, \(l = 7\space cm\), \(w=6\space cm\), \(h = 8\space cm\).
\(V_1=7\times6\times8 = 336\space cm^3\)

Step2: Calculate the volume of the middle cuboid

For the middle cuboid, \(l = 8\space cm\), \(w = 6\space cm\), \(h = 4\space cm\)
\(V_2=8\times6\times4=192\space cm^3\)

Step3: Calculate the volume of the right cuboid

For the right cuboid, \(l = 7\space cm\), \(w = 6\space cm\), \(h = 8\space cm\)
\(V_3 = 7\times6\times8=336\space cm^3\)

Step4: Calculate the total volume

\(V=V_1 + V_2+V_3\)
\(V=336 + 192+336\)
\(V = 864\space cm^3\)

Answer:

\(864\space cm^3\)