The figure shows a rubber cuboid that measures 118 cm by 14 cm by 14 cm.
- Find the maximum number of 9-cm 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
= 118 ÷ 9
= 13 r 1
Breath = Height
Number of cubes along the breadth or height
= 14 ÷ 9
= 1 r 5
Maximum number of 9 cm cubes
= 13 x 1 x 1
= 13
(b)
Area of the 2 squares
= 2 x 14 x 14
= 392 cm
2 Area of the top and bottom bases
= 2 x 118 x 14
= 3304 cm
2 Area of 1 L-shaped side
= 118 x 5 + (14 - 5) x 1
= 590 + 9
= 599 cm
2Area of 2 L-shaped sides
= 2 x 599
= 1198 cm
2 Total surface area
= 3304 + 392 + 1198
= 4894 cm
2 Answer(s): (a) 13; (b) 4894 cm
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