The figure shows a metallic cuboid that measures 101 m by 44 m by 44 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
= 101 ÷ 6
= 16 r 5
Breath = Height
Number of cubes along the breadth or height
= 44 ÷ 6
= 7 r 2
Maximum number of 6 m cubes
= 16 x 7 x 7
= 784
(b)
Area of the 2 squares
= 2 x 44 x 44
= 3872 m
2 Area of the top and bottom bases
= 2 x 101 x 44
= 8888 m
2 Area of 1 L-shaped side
= 101 x 2 + (44 - 2) x 5
= 202 + 210
= 412 m
2Area of 2 L-shaped sides
= 2 x 412
= 824 m
2 Total surface area
= 8888 + 3872 + 824
= 13584 m
2 Answer(s): (a) 784; (b) 13584 m
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