The figure shows a metallic cuboid that measures 149 m by 16 m by 16 m.
- Find the maximum number of 9-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
= 149 ÷ 9
= 16 r 5
Breath = Height
Number of cubes along the breadth or height
= 16 ÷ 9
= 1 r 7
Maximum number of 9 m cubes
= 16 x 1 x 1
= 16
(b)
Area of the 2 squares
= 2 x 16 x 16
= 512 m
2 Area of the top and bottom bases
= 2 x 149 x 16
= 4768 m
2 Area of 1 L-shaped side
= 149 x 7 + (16 - 7) x 5
= 1043 + 45
= 1088 m
2Area of 2 L-shaped sides
= 2 x 1088
= 2176 m
2 Total surface area
= 4768 + 512 + 2176
= 7456 m
2 Answer(s): (a) 16; (b) 7456 m
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