The figure shows a plastic cuboid that measures 101 m by 43 m by 43 m.
- Find the maximum number of 5-m cubes that can be cut from the plastic cuboid.
- Find the total surface area of the L-shaped block after cutting.
(a)
Number of cubes along the length
= 101 ÷ 5
= 20 r 1
Breath = Height
Number of cubes along the breadth or height
= 43 ÷ 5
= 8 r 3
Maximum number of 5 m cubes
= 20 x 8 x 8
= 1280
(b)
Area of the 2 squares
= 2 x 43 x 43
= 3698 m
2 Area of the top and bottom bases
= 2 x 101 x 43
= 8686 m
2 Area of 1 L-shaped side
= 101 x 3 + (43 - 3) x 1
= 303 + 40
= 343 m
2Area of 2 L-shaped sides
= 2 x 343
= 686 m
2 Total surface area
= 8686 + 3698 + 686
= 13070 m
2 Answer(s): (a) 1280; (b) 13070 m
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