The figure shows a metallic cuboid that measures 117 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
= 117 ÷ 6
= 19 r 3
Breath = Height
Number of cubes along the breadth or height
= 44 ÷ 6
= 7 r 2
Maximum number of 6 m cubes
= 19 x 7 x 7
= 931
(b)
Area of the 2 squares
= 2 x 44 x 44
= 3872 m
2 Area of the top and bottom bases
= 2 x 117 x 44
= 10296 m
2 Area of 1 L-shaped side
= 117 x 2 + (44 - 2) x 3
= 234 + 126
= 360 m
2Area of 2 L-shaped sides
= 2 x 360
= 720 m
2 Total surface area
= 10296 + 3872 + 720
= 14888 m
2 Answer(s): (a) 931; (b) 14888 m
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