The figure shows a rubber cuboid that measures 119 m by 46 m by 46 m.
- Find the maximum number of 8-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
= 119 ÷ 8
= 14 r 7
Breath = Height
Number of cubes along the breadth or height
= 46 ÷ 8
= 5 r 6
Maximum number of 8 m cubes
= 14 x 5 x 5
= 350
(b)
Area of the 2 squares
= 2 x 46 x 46
= 4232 m
2 Area of the top and bottom bases
= 2 x 119 x 46
= 10948 m
2 Area of 1 L-shaped side
= 119 x 6 + (46 - 6) x 7
= 714 + 280
= 994 m
2Area of 2 L-shaped sides
= 2 x 994
= 1988 m
2 Total surface area
= 10948 + 4232 + 1988
= 17168 m
2 Answer(s): (a) 350; (b) 17168 m
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