The figure shows a plastic cuboid that measures 102 m by 17 m by 17 m.
- Find the maximum number of 9-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
= 102 ÷ 9
= 11 r 3
Breath = Height
Number of cubes along the breadth or height
= 17 ÷ 9
= 1 r 8
Maximum number of 9 m cubes
= 11 x 1 x 1
= 11
(b)
Area of the 2 squares
= 2 x 17 x 17
= 578 m
2 Area of the top and bottom bases
= 2 x 102 x 17
= 3468 m
2 Area of 1 L-shaped side
= 102 x 8 + (17 - 8) x 3
= 816 + 27
= 843 m
2Area of 2 L-shaped sides
= 2 x 843
= 1686 m
2 Total surface area
= 3468 + 578 + 1686
= 5732 m
2 Answer(s): (a) 11; (b) 5732 m
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