The figure shows a wooden cuboid that measures 111 m by 44 m by 44 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
= 111 ÷ 8
= 13 r 7
Breath = Height
Number of cubes along the breadth or height
= 44 ÷ 8
= 5 r 4
Maximum number of 8 m cubes
= 13 x 5 x 5
= 325
(b)
Area of the 2 squares
= 2 x 44 x 44
= 3872 m
2 Area of the top and bottom bases
= 2 x 111 x 44
= 9768 m
2 Area of 1 L-shaped side
= 111 x 4 + (44 - 4) x 7
= 444 + 280
= 724 m
2Area of 2 L-shaped sides
= 2 x 724
= 1448 m
2 Total surface area
= 9768 + 3872 + 1448
= 15088 m
2 Answer(s): (a) 325; (b) 15088 m
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