The solid figure is made up of 4 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
= 4 x 1728
= 6912 cm
3 (b)
Total surface area is the total area of the exterior surface of a solid.
Total number of faces
= 5 + 5 + 3 + 5
= 18
Area of each side of the cube
= 12 x 12
= 144 cm
3 Total surface area of the solid figure
= Area of 18 faces
= 18 x 144
= 2592 cm
2 Answer(s): (a) 6912 cm
3; (b) 2592 cm
2