The figure shows a plastic cuboid that measures 125 m by 23 m by 23 m.
- Find the maximum number of 7-m cubes that can be cut from the plastic cuboid.
- Find the total surface area of the L-shaped block after cutting.
(a)
Number of cubes along the length
= 125 ÷ 7
= 17 r 6
Breath = Height
Number of cubes along the breadth or height
= 23 ÷ 7
= 3 r 2
Maximum number of 7 m cubes
= 17 x 3 x 3
= 153
(b)
Area of the 2 squares
= 2 x 23 x 23
= 1058 m
2 Area of the top and bottom bases
= 2 x 125 x 23
= 5750 m
2 Area of 1 L-shaped side
= 125 x 2 + (23 - 2) x 6
= 250 + 126
= 376 m
2Area of 2 L-shaped sides
= 2 x 376
= 752 m
2 Total surface area
= 5750 + 1058 + 752
= 7560 m
2 Answer(s): (a) 153; (b) 7560 m
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