The figure shows a rubber cuboid that measures 127 m by 26 m by 26 m.
- Find the maximum number of 6-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
= 127 ÷ 6
= 21 r 1
Breath = Height
Number of cubes along the breadth or height
= 26 ÷ 6
= 4 r 2
Maximum number of 6 m cubes
= 21 x 4 x 4
= 336
(b)
Area of the 2 squares
= 2 x 26 x 26
= 1352 m
2 Area of the top and bottom bases
= 2 x 127 x 26
= 6604 m
2 Area of 1 L-shaped side
= 127 x 2 + (26 - 2) x 1
= 254 + 24
= 278 m
2Area of 2 L-shaped sides
= 2 x 278
= 556 m
2 Total surface area
= 6604 + 1352 + 556
= 8512 m
2 Answer(s): (a) 336; (b) 8512 m
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