The figure shows a rubber cuboid that measures 134 m by 32 m by 32 m.
- Find the maximum number of 3-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
= 134 ÷ 3
= 44 r 2
Breath = Height
Number of cubes along the breadth or height
= 32 ÷ 3
= 10 r 2
Maximum number of 3 m cubes
= 44 x 10 x 10
= 4400
(b)
Area of the 2 squares
= 2 x 32 x 32
= 2048 m
2 Area of the top and bottom bases
= 2 x 134 x 32
= 8576 m
2 Area of 1 L-shaped side
= 134 x 2 + (32 - 2) x 2
= 268 + 60
= 328 m
2Area of 2 L-shaped sides
= 2 x 328
= 656 m
2 Total surface area
= 8576 + 2048 + 656
= 11280 m
2 Answer(s): (a) 4400; (b) 11280 m
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