The figure shows a rubber cuboid that measures 139 m by 19 m by 19 m.
- Find the maximum number of 6-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 ÷ 6
= 23 r 1
Breath = Height
Number of cubes along the breadth or height
= 19 ÷ 6
= 3 r 1
Maximum number of 6 m cubes
= 23 x 3 x 3
= 207
(b)
Area of the 2 squares
= 2 x 19 x 19
= 722 m
2 Area of the top and bottom bases
= 2 x 139 x 19
= 5282 m
2 Area of 1 L-shaped side
= 139 x 1 + (19 - 1) x 1
= 139 + 18
= 157 m
2Area of 2 L-shaped sides
= 2 x 157
= 314 m
2 Total surface area
= 5282 + 722 + 314
= 6318 m
2 Answer(s): (a) 207; (b) 6318 m
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