The figure shows a plastic cuboid that measures 114 m by 13 m by 13 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
= 114 ÷ 7
= 16 r 2
Breath = Height
Number of cubes along the breadth or height
= 13 ÷ 7
= 1 r 6
Maximum number of 7 m cubes
= 16 x 1 x 1
= 16
(b)
Area of the 2 squares
= 2 x 13 x 13
= 338 m
2 Area of the top and bottom bases
= 2 x 114 x 13
= 2964 m
2 Area of 1 L-shaped side
= 114 x 6 + (13 - 6) x 2
= 684 + 14
= 698 m
2Area of 2 L-shaped sides
= 2 x 698
= 1396 m
2 Total surface area
= 2964 + 338 + 1396
= 4698 m
2 Answer(s): (a) 16; (b) 4698 m
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