The figure shows a rubber cuboid that measures 108 m by 34 m by 34 m.
- Find the maximum number of 5-m 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
= 108 ÷ 5
= 21 r 3
Breath = Height
Number of cubes along the breadth or height
= 34 ÷ 5
= 6 r 4
Maximum number of 5 m cubes
= 21 x 6 x 6
= 756
(b)
Area of the 2 squares
= 2 x 34 x 34
= 2312 m
2 Area of the top and bottom bases
= 2 x 108 x 34
= 7344 m
2 Area of 1 L-shaped side
= 108 x 4 + (34 - 4) x 3
= 432 + 90
= 522 m
2Area of 2 L-shaped sides
= 2 x 522
= 1044 m
2 Total surface area
= 7344 + 2312 + 1044
= 10700 m
2 Answer(s): (a) 756; (b) 10700 m
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