The figure shows a wooden cuboid that measures 119 m by 14 m by 14 m.
- Find the maximum number of 9-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
= 119 ÷ 9
= 13 r 2
Breath = Height
Number of cubes along the breadth or height
= 14 ÷ 9
= 1 r 5
Maximum number of 9 m cubes
= 13 x 1 x 1
= 13
(b)
Area of the 2 squares
= 2 x 14 x 14
= 392 m
2 Area of the top and bottom bases
= 2 x 119 x 14
= 3332 m
2 Area of 1 L-shaped side
= 119 x 5 + (14 - 5) x 2
= 595 + 18
= 613 m
2Area of 2 L-shaped sides
= 2 x 613
= 1226 m
2 Total surface area
= 3332 + 392 + 1226
= 4950 m
2 Answer(s): (a) 13; (b) 4950 m
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