The figure shows a metallic cuboid that measures 129 m by 46 m by 46 m.
- Find the maximum number of 5-m cubes that can be cut from the metallic cuboid.
- Find the total surface area of the L-shaped block after cutting.
(a)
Number of cubes along the length
= 129 ÷ 5
= 25 r 4
Breath = Height
Number of cubes along the breadth or height
= 46 ÷ 5
= 9 r 1
Maximum number of 5 m cubes
= 25 x 9 x 9
= 2025
(b)
Area of the 2 squares
= 2 x 46 x 46
= 4232 m
2 Area of the top and bottom bases
= 2 x 129 x 46
= 11868 m
2 Area of 1 L-shaped side
= 129 x 1 + (46 - 1) x 4
= 129 + 180
= 309 m
2Area of 2 L-shaped sides
= 2 x 309
= 618 m
2 Total surface area
= 11868 + 4232 + 618
= 16718 m
2 Answer(s): (a) 2025; (b) 16718 m
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