The figure shows a rubber cuboid that measures 132 m by 22 m by 22 m.
- Find the maximum number of 8-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
= 132 ÷ 8
= 16 r 4
Breath = Height
Number of cubes along the breadth or height
= 22 ÷ 8
= 2 r 6
Maximum number of 8 m cubes
= 16 x 2 x 2
= 64
(b)
Area of the 2 squares
= 2 x 22 x 22
= 968 m
2 Area of the top and bottom bases
= 2 x 132 x 22
= 5808 m
2 Area of 1 L-shaped side
= 132 x 6 + (22 - 6) x 4
= 792 + 64
= 856 m
2Area of 2 L-shaped sides
= 2 x 856
= 1712 m
2 Total surface area
= 5808 + 968 + 1712
= 8488 m
2 Answer(s): (a) 64; (b) 8488 m
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