The figure shows a rubber cuboid that measures 107 m by 26 m by 26 m.
- Find the maximum number of 8-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
= 107 ÷ 8
= 13 r 3
Breath = Height
Number of cubes along the breadth or height
= 26 ÷ 8
= 3 r 2
Maximum number of 8 m cubes
= 13 x 3 x 3
= 117
(b)
Area of the 2 squares
= 2 x 26 x 26
= 1352 m
2 Area of the top and bottom bases
= 2 x 107 x 26
= 5564 m
2 Area of 1 L-shaped side
= 107 x 2 + (26 - 2) x 3
= 214 + 72
= 286 m
2Area of 2 L-shaped sides
= 2 x 286
= 572 m
2 Total surface area
= 5564 + 1352 + 572
= 7488 m
2 Answer(s): (a) 117; (b) 7488 m
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