The figure shows a rubber cuboid that measures 130 m by 19 m by 19 m.
- Find the maximum number of 4-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
= 130 ÷ 4
= 32 r 2
Breath = Height
Number of cubes along the breadth or height
= 19 ÷ 4
= 4 r 3
Maximum number of 4 m cubes
= 32 x 4 x 4
= 512
(b)
Area of the 2 squares
= 2 x 19 x 19
= 722 m
2 Area of the top and bottom bases
= 2 x 130 x 19
= 4940 m
2 Area of 1 L-shaped side
= 130 x 3 + (19 - 3) x 2
= 390 + 32
= 422 m
2Area of 2 L-shaped sides
= 2 x 422
= 844 m
2 Total surface area
= 4940 + 722 + 844
= 6506 m
2 Answer(s): (a) 512; (b) 6506 m
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