The figure shows a wooden cuboid that measures 143 m by 10 m by 10 m.
- Find the maximum number of 8-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
= 143 ÷ 8
= 17 r 7
Breath = Height
Number of cubes along the breadth or height
= 10 ÷ 8
= 1 r 2
Maximum number of 8 m cubes
= 17 x 1 x 1
= 17
(b)
Area of the 2 squares
= 2 x 10 x 10
= 200 m
2 Area of the top and bottom bases
= 2 x 143 x 10
= 2860 m
2 Area of 1 L-shaped side
= 143 x 2 + (10 - 2) x 7
= 286 + 56
= 342 m
2Area of 2 L-shaped sides
= 2 x 342
= 684 m
2 Total surface area
= 2860 + 200 + 684
= 3744 m
2 Answer(s): (a) 17; (b) 3744 m
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