The figure is made up of identical cubes. If the volume of the solid is 208 cm
3,
- find the total surface area of the figure.
- how many more of such cubes is to be added to form a cube of side 12 cm?
(a)
Total number of cubes = 26
Volume of 1 cube
= 208 ÷ 26
= 8 cm
3 Length of 1 side
= ³√8
= 2 cm
Area of 1 side of cube
= 2 x 2
= 4 cm
2 Number of exposed surfaces = 92
Total surface area of the figure
= 92 x 4
= 368 cm
2 (b)
Volume of the cube with 12 cm side
= 12 x 12 x 12
= 1728 cm³
Total number of cubes
= 1728 ÷ 8
= 216
Number of more cubes needed
= 216 - 26
= 190
Answer(s): (a) 368 cm
2; (b) 190