The figure shows a metallic cuboid that measures 134 m by 14 m by 14 m.
- Find the maximum number of 6-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
= 134 ÷ 6
= 22 r 2
Breath = Height
Number of cubes along the breadth or height
= 14 ÷ 6
= 2 r 2
Maximum number of 6 m cubes
= 22 x 2 x 2
= 88
(b)
Area of the 2 squares
= 2 x 14 x 14
= 392 m
2 Area of the top and bottom bases
= 2 x 134 x 14
= 3752 m
2 Area of 1 L-shaped side
= 134 x 2 + (14 - 2) x 2
= 268 + 24
= 292 m
2Area of 2 L-shaped sides
= 2 x 292
= 584 m
2 Total surface area
= 3752 + 392 + 584
= 4728 m
2 Answer(s): (a) 88; (b) 4728 m
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