The figure shows a rubber cuboid that measures 127 m by 48 m by 48 m.
- Find the maximum number of 9-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
= 127 ÷ 9
= 14 r 1
Breath = Height
Number of cubes along the breadth or height
= 48 ÷ 9
= 5 r 3
Maximum number of 9 m cubes
= 14 x 5 x 5
= 350
(b)
Area of the 2 squares
= 2 x 48 x 48
= 4608 m
2 Area of the top and bottom bases
= 2 x 127 x 48
= 12192 m
2 Area of 1 L-shaped side
= 127 x 3 + (48 - 3) x 1
= 381 + 45
= 426 m
2Area of 2 L-shaped sides
= 2 x 426
= 852 m
2 Total surface area
= 12192 + 4608 + 852
= 17652 m
2 Answer(s): (a) 350; (b) 17652 m
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