The figure shows a wooden cuboid that measures 103 m by 10 m by 10 m.
- Find the maximum number of 4-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
= 103 ÷ 4
= 25 r 3
Breath = Height
Number of cubes along the breadth or height
= 10 ÷ 4
= 2 r 2
Maximum number of 4 m cubes
= 25 x 2 x 2
= 100
(b)
Area of the 2 squares
= 2 x 10 x 10
= 200 m
2 Area of the top and bottom bases
= 2 x 103 x 10
= 2060 m
2 Area of 1 L-shaped side
= 103 x 2 + (10 - 2) x 3
= 206 + 24
= 230 m
2Area of 2 L-shaped sides
= 2 x 230
= 460 m
2 Total surface area
= 2060 + 200 + 460
= 2720 m
2 Answer(s): (a) 100; (b) 2720 m
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