The figure shows a plastic cuboid that measures 133 m by 23 m by 23 m.
- Find the maximum number of 9-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
= 133 ÷ 9
= 14 r 7
Breath = Height
Number of cubes along the breadth or height
= 23 ÷ 9
= 2 r 5
Maximum number of 9 m cubes
= 14 x 2 x 2
= 56
(b)
Area of the 2 squares
= 2 x 23 x 23
= 1058 m
2 Area of the top and bottom bases
= 2 x 133 x 23
= 6118 m
2 Area of 1 L-shaped side
= 133 x 5 + (23 - 5) x 7
= 665 + 126
= 791 m
2Area of 2 L-shaped sides
= 2 x 791
= 1582 m
2 Total surface area
= 6118 + 1058 + 1582
= 8758 m
2 Answer(s): (a) 56; (b) 8758 m
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