The figure shows a plastic cuboid that measures 101 cm by 29 cm by 29 cm.
- Find the maximum number of 4-cm cubes that can be cut from the plastic cuboid.
- Find the total surface area of the L-shaped block after cutting.
(a)
Number of cubes along the length
= 101 ÷ 4
= 25 r 1
Breath = Height
Number of cubes along the breadth or height
= 29 ÷ 4
= 7 r 1
Maximum number of 4 cm cubes
= 25 x 7 x 7
= 1225
(b)
Area of the 2 squares
= 2 x 29 x 29
= 1682 cm
2 Area of the top and bottom bases
= 2 x 101 x 29
= 5858 cm
2 Area of 1 L-shaped side
= 101 x 1 + (29 - 1) x 1
= 101 + 28
= 129 cm
2Area of 2 L-shaped sides
= 2 x 129
= 258 cm
2 Total surface area
= 5858 + 1682 + 258
= 7798 cm
2 Answer(s): (a) 1225; (b) 7798 cm
2 
