The figure shows a plastic cuboid that measures 134 m by 39 m by 39 m.
- Find the maximum number of 6-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
= 134 ÷ 6
= 22 r 2
Breath = Height
Number of cubes along the breadth or height
= 39 ÷ 6
= 6 r 3
Maximum number of 6 m cubes
= 22 x 6 x 6
= 792
(b)
Area of the 2 squares
= 2 x 39 x 39
= 3042 m
2 Area of the top and bottom bases
= 2 x 134 x 39
= 10452 m
2 Area of 1 L-shaped side
= 134 x 3 + (39 - 3) x 2
= 402 + 72
= 474 m
2Area of 2 L-shaped sides
= 2 x 474
= 948 m
2 Total surface area
= 10452 + 3042 + 948
= 14442 m
2 Answer(s): (a) 792; (b) 14442 m
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