The figure shows a metallic cuboid that measures 141 m by 34 m by 34 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
= 141 ÷ 9
= 15 r 6
Breath = Height
Number of cubes along the breadth or height
= 34 ÷ 9
= 3 r 7
Maximum number of 9 m cubes
= 15 x 3 x 3
= 135
(b)
Area of the 2 squares
= 2 x 34 x 34
= 2312 m
2 Area of the top and bottom bases
= 2 x 141 x 34
= 9588 m
2 Area of 1 L-shaped side
= 141 x 7 + (34 - 7) x 6
= 987 + 162
= 1149 m
2Area of 2 L-shaped sides
= 2 x 1149
= 2298 m
2 Total surface area
= 9588 + 2312 + 2298
= 14198 m
2 Answer(s): (a) 135; (b) 14198 m
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