The figure shows a metallic cuboid that measures 141 m by 23 m by 23 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
= 141 ÷ 6
= 23 r 3
Breath = Height
Number of cubes along the breadth or height
= 23 ÷ 6
= 3 r 5
Maximum number of 6 m cubes
= 23 x 3 x 3
= 207
(b)
Area of the 2 squares
= 2 x 23 x 23
= 1058 m
2 Area of the top and bottom bases
= 2 x 141 x 23
= 6486 m
2 Area of 1 L-shaped side
= 141 x 5 + (23 - 5) x 3
= 705 + 54
= 759 m
2Area of 2 L-shaped sides
= 2 x 759
= 1518 m
2 Total surface area
= 6486 + 1058 + 1518
= 9062 m
2 Answer(s): (a) 207; (b) 9062 m
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