The figure shows a rubber cuboid that measures 139 m by 37 m by 37 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
= 139 ÷ 4
= 34 r 3
Breath = Height
Number of cubes along the breadth or height
= 37 ÷ 4
= 9 r 1
Maximum number of 4 m cubes
= 34 x 9 x 9
= 2754
(b)
Area of the 2 squares
= 2 x 37 x 37
= 2738 m
2 Area of the top and bottom bases
= 2 x 139 x 37
= 10286 m
2 Area of 1 L-shaped side
= 139 x 1 + (37 - 1) x 3
= 139 + 108
= 247 m
2Area of 2 L-shaped sides
= 2 x 247
= 494 m
2 Total surface area
= 10286 + 2738 + 494
= 13518 m
2 Answer(s): (a) 2754; (b) 13518 m
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