The figure shows a wooden cuboid that measures 131 m by 18 m by 18 m.
- Find the maximum number of 4-m cubes that can be cut from the wooden cuboid.
- Find the total surface area of the L-shaped block after cutting.
(a)
Number of cubes along the length
= 131 ÷ 4
= 32 r 3
Breath = Height
Number of cubes along the breadth or height
= 18 ÷ 4
= 4 r 2
Maximum number of 4 m cubes
= 32 x 4 x 4
= 512
(b)
Area of the 2 squares
= 2 x 18 x 18
= 648 m
2 Area of the top and bottom bases
= 2 x 131 x 18
= 4716 m
2 Area of 1 L-shaped side
= 131 x 2 + (18 - 2) x 3
= 262 + 48
= 310 m
2Area of 2 L-shaped sides
= 2 x 310
= 620 m
2 Total surface area
= 4716 + 648 + 620
= 5984 m
2 Answer(s): (a) 512; (b) 5984 m
2 
