The solid figure is made up of 7 identical cubes of edge 8 cm.
- Find the volume of the solid figure.
- Find the total surface area of the solid figure.
(a)
Volume of each cube
= 8 x 8 x 8
= 512 cm
3
Volume of the solid figure
= 7 x 512
= 3584 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
= 8 x 8
= 64 cm
2 Total surface area of the solid figure
= Area of 28 faces
= 28 x 64
= 1792 cm
2 Answer(s): (a) 3584 cm
3; (b) 1792 cm
2