The figure shows a metallic cuboid that measures 135 m by 11 m by 11 m.
- Find the maximum number of 7-m cubes that can be cut from the metallic cuboid.
- Find the total surface area of the L-shaped block after cutting.
(a)
Number of cubes along the length
= 135 ÷ 7
= 19 r 2
Breath = Height
Number of cubes along the breadth or height
= 11 ÷ 7
= 1 r 4
Maximum number of 7 m cubes
= 19 x 1 x 1
= 19
(b)
Area of the 2 squares
= 2 x 11 x 11
= 242 m
2 Area of the top and bottom bases
= 2 x 135 x 11
= 2970 m
2 Area of 1 L-shaped side
= 135 x 4 + (11 - 4) x 2
= 540 + 14
= 554 m
2Area of 2 L-shaped sides
= 2 x 554
= 1108 m
2 Total surface area
= 2970 + 242 + 1108
= 4320 m
2 Answer(s): (a) 19; (b) 4320 m
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