The figure shows a plastic cuboid that measures 136 m by 16 m by 16 m.
- Find the maximum number of 3-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
= 136 ÷ 3
= 45 r 1
Breath = Height
Number of cubes along the breadth or height
= 16 ÷ 3
= 5 r 1
Maximum number of 3 m cubes
= 45 x 5 x 5
= 1125
(b)
Area of the 2 squares
= 2 x 16 x 16
= 512 m
2 Area of the top and bottom bases
= 2 x 136 x 16
= 4352 m
2 Area of 1 L-shaped side
= 136 x 1 + (16 - 1) x 1
= 136 + 15
= 151 m
2Area of 2 L-shaped sides
= 2 x 151
= 302 m
2 Total surface area
= 4352 + 512 + 302
= 5166 m
2 Answer(s): (a) 1125; (b) 5166 m
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