The figure shows a plastic cuboid that measures 113 m by 27 m by 27 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
= 113 ÷ 7
= 16 r 1
Breath = Height
Number of cubes along the breadth or height
= 27 ÷ 7
= 3 r 6
Maximum number of 7 m cubes
= 16 x 3 x 3
= 144
(b)
Area of the 2 squares
= 2 x 27 x 27
= 1458 m
2 Area of the top and bottom bases
= 2 x 113 x 27
= 6102 m
2 Area of 1 L-shaped side
= 113 x 6 + (27 - 6) x 1
= 678 + 21
= 699 m
2Area of 2 L-shaped sides
= 2 x 699
= 1398 m
2 Total surface area
= 6102 + 1458 + 1398
= 8958 m
2 Answer(s): (a) 144; (b) 8958 m
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