The figure shows a rubber cuboid that measures 125 m by 34 m by 34 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
= 125 ÷ 8
= 15 r 5
Breath = Height
Number of cubes along the breadth or height
= 34 ÷ 8
= 4 r 2
Maximum number of 8 m cubes
= 15 x 4 x 4
= 240
(b)
Area of the 2 squares
= 2 x 34 x 34
= 2312 m
2 Area of the top and bottom bases
= 2 x 125 x 34
= 8500 m
2 Area of 1 L-shaped side
= 125 x 2 + (34 - 2) x 5
= 250 + 160
= 410 m
2Area of 2 L-shaped sides
= 2 x 410
= 820 m
2 Total surface area
= 8500 + 2312 + 820
= 11632 m
2 Answer(s): (a) 240; (b) 11632 m
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