The figure shows a plastic cuboid that measures 130 m by 27 m by 27 m.
- Find the maximum number of 4-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
= 130 ÷ 4
= 32 r 2
Breath = Height
Number of cubes along the breadth or height
= 27 ÷ 4
= 6 r 3
Maximum number of 4 m cubes
= 32 x 6 x 6
= 1152
(b)
Area of the 2 squares
= 2 x 27 x 27
= 1458 m
2 Area of the top and bottom bases
= 2 x 130 x 27
= 7020 m
2 Area of 1 L-shaped side
= 130 x 3 + (27 - 3) x 2
= 390 + 48
= 438 m
2Area of 2 L-shaped sides
= 2 x 438
= 876 m
2 Total surface area
= 7020 + 1458 + 876
= 9354 m
2 Answer(s): (a) 1152; (b) 9354 m
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