The solid figure is made up of 5 identical cubes of edge 12 m.
- Find the volume of the solid figure.
- Find the total surface area of the solid figure.
(a)
Volume of 1 cube
= 12 x 12 x 12
= 1728 m
3
Volume of the solid figure
= 5 x 1728
= 8640 m
3 (b)
Total surface area is the total area of the exterior surface of a solid.
Total number of faces
= 5 + 5 + 5 + 4 + 3
= 22
Surface area of each side of the cube
= 12 x 12
= 144 m
2 Total surface area of the solid figure
= 22 x 144
= 3168 m
2 Answer(s): (a) 8640 m
3; (b) 3168 m
2