The figure shows a rubber cuboid that measures 125 m by 19 m by 19 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
= 125 ÷ 7
= 17 r 6
Breath = Height
Number of cubes along the breadth or height
= 19 ÷ 7
= 2 r 5
Maximum number of 7 m cubes
= 17 x 2 x 2
= 68
(b)
Area of the 2 squares
= 2 x 19 x 19
= 722 m
2 Area of the top and bottom bases
= 2 x 125 x 19
= 4750 m
2 Area of 1 L-shaped side
= 125 x 5 + (19 - 5) x 6
= 625 + 84
= 709 m
2Area of 2 L-shaped sides
= 2 x 709
= 1418 m
2 Total surface area
= 4750 + 722 + 1418
= 6890 m
2 Answer(s): (a) 68; (b) 6890 m
2