The solid figure is made up of 7 identical cubes of edge 10 m.
- Find the volume of the solid figure.
- Find the total surface area of the solid figure.
(a)
Volume of each cube
= 10 x 10 x 10
= 1000 m
3
Volume of the solid figure
= 7 x 1000
= 7000 m
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
= 10 x 10
= 100 m
2 Total surface area of the solid figure
= Area of 28 faces
= 28 x 100
= 2800 m
2 Answer(s): (a) 7000 m
3; (b) 2800 m
2