The figure shows a rubber cuboid that measures 132 m by 24 m by 24 m.
- Find the maximum number of 5-m cubes that can be cut from the rubber cuboid.
- Find the total surface area of the L-shaped block after cutting.
(a)
Number of cubes along the length
= 132 ÷ 5
= 26 r 2
Breath = Height
Number of cubes along the breadth or height
= 24 ÷ 5
= 4 r 4
Maximum number of 5 m cubes
= 26 x 4 x 4
= 416
(b)
Area of the 2 squares
= 2 x 24 x 24
= 1152 m
2 Area of the top and bottom bases
= 2 x 132 x 24
= 6336 m
2 Area of 1 L-shaped side
= 132 x 4 + (24 - 4) x 2
= 528 + 40
= 568 m
2Area of 2 L-shaped sides
= 2 x 568
= 1136 m
2 Total surface area
= 6336 + 1152 + 1136
= 8624 m
2 Answer(s): (a) 416; (b) 8624 m
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