The figure shows a rubber cuboid that measures 124 cm by 44 cm by 44 cm.
- Find the maximum number of 8-cm cubes that can be cut from the rubber cuboid.
- Find the total surface area of the L-shaped block after cutting.
(a)
Number of cubes along the length
= 124 ÷ 8
= 15 r 4
Breath = Height
Number of cubes along the breadth or height
= 44 ÷ 8
= 5 r 4
Maximum number of 8 cm cubes
= 15 x 5 x 5
= 375
(b)
Area of the 2 squares
= 2 x 44 x 44
= 3872 cm
2 Area of the top and bottom bases
= 2 x 124 x 44
= 10912 cm
2 Area of 1 L-shaped side
= 124 x 4 + (44 - 4) x 4
= 496 + 160
= 656 cm
2Area of 2 L-shaped sides
= 2 x 656
= 1312 cm
2 Total surface area
= 10912 + 3872 + 1312
= 16096 cm
2 Answer(s): (a) 375; (b) 16096 cm
2 
