The figure shows a plastic cuboid that measures 136 m by 19 m by 19 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
= 136 ÷ 9
= 15 r 1
Breath = Height
Number of cubes along the breadth or height
= 19 ÷ 9
= 2 r 1
Maximum number of 9 m cubes
= 15 x 2 x 2
= 60
(b)
Area of the 2 squares
= 2 x 19 x 19
= 722 m
2 Area of the top and bottom bases
= 2 x 136 x 19
= 5168 m
2 Area of 1 L-shaped side
= 136 x 1 + (19 - 1) x 1
= 136 + 18
= 154 m
2Area of 2 L-shaped sides
= 2 x 154
= 308 m
2 Total surface area
= 5168 + 722 + 308
= 6198 m
2 Answer(s): (a) 60; (b) 6198 m
2