The figure shows a metallic cuboid that measures 100 m by 29 m by 29 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
= 100 ÷ 6
= 16 r 4
Breath = Height
Number of cubes along the breadth or height
= 29 ÷ 6
= 4 r 5
Maximum number of 6 m cubes
= 16 x 4 x 4
= 256
(b)
Area of the 2 squares
= 2 x 29 x 29
= 1682 m
2 Area of the top and bottom bases
= 2 x 100 x 29
= 5800 m
2 Area of 1 L-shaped side
= 100 x 5 + (29 - 5) x 4
= 500 + 96
= 596 m
2Area of 2 L-shaped sides
= 2 x 596
= 1192 m
2 Total surface area
= 5800 + 1682 + 1192
= 8674 m
2 Answer(s): (a) 256; (b) 8674 m
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