The figure shows a metallic cuboid that measures 149 m by 13 m by 13 m.
- Find the maximum number of 9-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
= 149 ÷ 9
= 16 r 5
Breath = Height
Number of cubes along the breadth or height
= 13 ÷ 9
= 1 r 4
Maximum number of 9 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 149 x 13
= 3874 m
2 Area of 1 L-shaped side
= 149 x 4 + (13 - 4) x 5
= 596 + 45
= 641 m
2Area of 2 L-shaped sides
= 2 x 641
= 1282 m
2 Total surface area
= 3874 + 338 + 1282
= 5494 m
2 Answer(s): (a) 16; (b) 5494 m
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