The figure shows a wooden cuboid that measures 148 m by 40 m by 40 m.
- Find the maximum number of 7-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
= 148 ÷ 7
= 21 r 1
Breath = Height
Number of cubes along the breadth or height
= 40 ÷ 7
= 5 r 5
Maximum number of 7 m cubes
= 21 x 5 x 5
= 525
(b)
Area of the 2 squares
= 2 x 40 x 40
= 3200 m
2 Area of the top and bottom bases
= 2 x 148 x 40
= 11840 m
2 Area of 1 L-shaped side
= 148 x 5 + (40 - 5) x 1
= 740 + 35
= 775 m
2Area of 2 L-shaped sides
= 2 x 775
= 1550 m
2 Total surface area
= 11840 + 3200 + 1550
= 16590 m
2 Answer(s): (a) 525; (b) 16590 m
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