The solid figure is made up of 7 identical cubes of edge 12 cm.
- Find the volume of the solid figure.
- Find the total surface area of the solid figure.
(a)
Volume of each cube
= 12 x 12 x 12
= 1728 cm
3
Volume of the solid figure
= 7 x 1728
= 12096 cm
3 (b)
Total surface area is the total area of the exterior surface of a solid.
Total number of faces
= 5 + 4 + 4 + 3 + 4 + 3 + 5
= 28
Area of each side of the cube
= 12 x 12
= 144 cm
2 Total surface area of the solid figure
= Area of 28 faces
= 28 x 144
= 4032 cm
2 Answer(s): (a) 12096 cm
3; (b) 4032 cm
2 
