The figure shows a rubber cuboid that measures 104 cm by 50 cm by 50 cm.
- Find the maximum number of 6-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
= 104 ÷ 6
= 17 r 2
Breath = Height
Number of cubes along the breadth or height
= 50 ÷ 6
= 8 r 2
Maximum number of 6 cm cubes
= 17 x 8 x 8
= 1088
(b)
Area of the 2 squares
= 2 x 50 x 50
= 5000 cm
2 Area of the top and bottom bases
= 2 x 104 x 50
= 10400 cm
2 Area of 1 L-shaped side
= 104 x 2 + (50 - 2) x 2
= 208 + 96
= 304 cm
2Area of 2 L-shaped sides
= 2 x 304
= 608 cm
2 Total surface area
= 10400 + 5000 + 608
= 16008 cm
2 Answer(s): (a) 1088; (b) 16008 cm
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