The figure shows a wooden cuboid that measures 113 m by 13 m by 13 m.
- Find the maximum number of 5-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
= 113 ÷ 5
= 22 r 3
Breath = Height
Number of cubes along the breadth or height
= 13 ÷ 5
= 2 r 3
Maximum number of 5 m cubes
= 22 x 2 x 2
= 88
(b)
Area of the 2 squares
= 2 x 13 x 13
= 338 m
2 Area of the top and bottom bases
= 2 x 113 x 13
= 2938 m
2 Area of 1 L-shaped side
= 113 x 3 + (13 - 3) x 3
= 339 + 30
= 369 m
2Area of 2 L-shaped sides
= 2 x 369
= 738 m
2 Total surface area
= 2938 + 338 + 738
= 4014 m
2 Answer(s): (a) 88; (b) 4014 m
2 
