The figure shows a plastic cuboid that measures 124 m by 25 m by 25 m.
- Find the maximum number of 7-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
= 124 ÷ 7
= 17 r 5
Breath = Height
Number of cubes along the breadth or height
= 25 ÷ 7
= 3 r 4
Maximum number of 7 m cubes
= 17 x 3 x 3
= 153
(b)
Area of the 2 squares
= 2 x 25 x 25
= 1250 m
2 Area of the top and bottom bases
= 2 x 124 x 25
= 6200 m
2 Area of 1 L-shaped side
= 124 x 4 + (25 - 4) x 5
= 496 + 105
= 601 m
2Area of 2 L-shaped sides
= 2 x 601
= 1202 m
2 Total surface area
= 6200 + 1250 + 1202
= 8652 m
2 Answer(s): (a) 153; (b) 8652 m
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