The figure shows a wooden cuboid that measures 141 m by 41 m by 41 m.
- Find the maximum number of 8-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 ÷ 8
= 17 r 5
Breath = Height
Number of cubes along the breadth or height
= 41 ÷ 8
= 5 r 1
Maximum number of 8 m cubes
= 17 x 5 x 5
= 425
(b)
Area of the 2 squares
= 2 x 41 x 41
= 3362 m
2 Area of the top and bottom bases
= 2 x 141 x 41
= 11562 m
2 Area of 1 L-shaped side
= 141 x 1 + (41 - 1) x 5
= 141 + 200
= 341 m
2Area of 2 L-shaped sides
= 2 x 341
= 682 m
2 Total surface area
= 11562 + 3362 + 682
= 15606 m
2 Answer(s): (a) 425; (b) 15606 m
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