The figure shows a rubber cuboid that measures 109 m by 39 m by 39 m.
- Find the maximum number of 8-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
= 109 ÷ 8
= 13 r 5
Breath = Height
Number of cubes along the breadth or height
= 39 ÷ 8
= 4 r 7
Maximum number of 8 m cubes
= 13 x 4 x 4
= 208
(b)
Area of the 2 squares
= 2 x 39 x 39
= 3042 m
2 Area of the top and bottom bases
= 2 x 109 x 39
= 8502 m
2 Area of 1 L-shaped side
= 109 x 7 + (39 - 7) x 5
= 763 + 160
= 923 m
2Area of 2 L-shaped sides
= 2 x 923
= 1846 m
2 Total surface area
= 8502 + 3042 + 1846
= 13390 m
2 Answer(s): (a) 208; (b) 13390 m
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