The figure shows a metallic cuboid that measures 133 m by 33 m by 33 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
= 133 ÷ 6
= 22 r 1
Breath = Height
Number of cubes along the breadth or height
= 33 ÷ 6
= 5 r 3
Maximum number of 6 m cubes
= 22 x 5 x 5
= 550
(b)
Area of the 2 squares
= 2 x 33 x 33
= 2178 m
2 Area of the top and bottom bases
= 2 x 133 x 33
= 8778 m
2 Area of 1 L-shaped side
= 133 x 3 + (33 - 3) x 1
= 399 + 30
= 429 m
2Area of 2 L-shaped sides
= 2 x 429
= 858 m
2 Total surface area
= 8778 + 2178 + 858
= 11814 m
2 Answer(s): (a) 550; (b) 11814 m
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