The figure shows a wooden cuboid that measures 121 m by 11 m by 11 m.
- Find the maximum number of 6-m cubes that can be cut from the wooden cuboid.
- Find the total surface area of the L-shaped block after cutting.
(a)
Number of cubes along the length
= 121 ÷ 6
= 20 r 1
Breath = Height
Number of cubes along the breadth or height
= 11 ÷ 6
= 1 r 5
Maximum number of 6 m cubes
= 20 x 1 x 1
= 20
(b)
Area of the 2 squares
= 2 x 11 x 11
= 242 m
2 Area of the top and bottom bases
= 2 x 121 x 11
= 2662 m
2 Area of 1 L-shaped side
= 121 x 5 + (11 - 5) x 1
= 605 + 6
= 611 m
2Area of 2 L-shaped sides
= 2 x 611
= 1222 m
2 Total surface area
= 2662 + 242 + 1222
= 4126 m
2 Answer(s): (a) 20; (b) 4126 m
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