The figure shows a rubber cuboid that measures 137 m by 10 m by 10 m.
- Find the maximum number of 7-m cubes that can be cut from the rubber cuboid.
- Find the total surface area of the L-shaped block after cutting.
(a)
Number of cubes along the length
= 137 ÷ 7
= 19 r 4
Breath = Height
Number of cubes along the breadth or height
= 10 ÷ 7
= 1 r 3
Maximum number of 7 m cubes
= 19 x 1 x 1
= 19
(b)
Area of the 2 squares
= 2 x 10 x 10
= 200 m
2 Area of the top and bottom bases
= 2 x 137 x 10
= 2740 m
2 Area of 1 L-shaped side
= 137 x 3 + (10 - 3) x 4
= 411 + 28
= 439 m
2Area of 2 L-shaped sides
= 2 x 439
= 878 m
2 Total surface area
= 2740 + 200 + 878
= 3818 m
2 Answer(s): (a) 19; (b) 3818 m
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