The solid figure is made up of 6 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 each cube
= 12 x 12 x 12
= 1728 m
3Volume of the solid figure
= 6 x 12 x 12 x 12
= 10368 m
3 (b)
Total surface area is the total area of the exterior surface of a solid.
Total number of faces
= 5 + 3 + 4 + 4 + 3 + 5
= 24
Area of each side of the cube
= 12 x 12
= 144 m
2 Total surface area of the solid figure
= Area of 24 faces
= 24 x 12 x 12
= 3456 m
2 Answer(s): (a) 10368 m
3; (b) 3456 m
2