The figure shows a wooden cuboid that measures 141 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
= 141 ÷ 5
= 28 r 1
Breath = Height
Number of cubes along the breadth or height
= 13 ÷ 5
= 2 r 3
Maximum number of 5 m cubes
= 28 x 2 x 2
= 112
(b)
Area of the 2 squares
= 2 x 13 x 13
= 338 m
2 Area of the top and bottom bases
= 2 x 141 x 13
= 3666 m
2 Area of 1 L-shaped side
= 141 x 3 + (13 - 3) x 1
= 423 + 10
= 433 m
2Area of 2 L-shaped sides
= 2 x 433
= 866 m
2 Total surface area
= 3666 + 338 + 866
= 4870 m
2 Answer(s): (a) 112; (b) 4870 m
2