The figure shows a plastic cuboid that measures 130 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
= 130 ÷ 7
= 18 r 4
Breath = Height
Number of cubes along the breadth or height
= 25 ÷ 7
= 3 r 4
Maximum number of 7 m cubes
= 18 x 3 x 3
= 162
(b)
Area of the 2 squares
= 2 x 25 x 25
= 1250 m
2 Area of the top and bottom bases
= 2 x 130 x 25
= 6500 m
2 Area of 1 L-shaped side
= 130 x 4 + (25 - 4) x 4
= 520 + 84
= 604 m
2Area of 2 L-shaped sides
= 2 x 604
= 1208 m
2 Total surface area
= 6500 + 1250 + 1208
= 8958 m
2 Answer(s): (a) 162; (b) 8958 m
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