The figure shows a rubber cuboid that measures 117 cm by 10 cm by 10 cm.
- Find the maximum number of 6-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
= 117 ÷ 6
= 19 r 3
Breath = Height
Number of cubes along the breadth or height
= 10 ÷ 6
= 1 r 4
Maximum number of 6 cm cubes
= 19 x 1 x 1
= 19
(b)
Area of the 2 squares
= 2 x 10 x 10
= 200 cm
2 Area of the top and bottom bases
= 2 x 117 x 10
= 2340 cm
2 Area of 1 L-shaped side
= 117 x 4 + (10 - 4) x 3
= 468 + 18
= 486 cm
2Area of 2 L-shaped sides
= 2 x 486
= 972 cm
2 Total surface area
= 2340 + 200 + 972
= 3512 cm
2 Answer(s): (a) 19; (b) 3512 cm
2 
