The figure shows a wooden cuboid that measures 137 m by 26 m by 26 m.
- Find the maximum number of 5-m cubes that can be cut from the wooden cuboid.
- Find the total surface area of the L-shaped block after cutting.
(a)
Number of cubes along the length
= 137 ÷ 5
= 27 r 2
Breath = Height
Number of cubes along the breadth or height
= 26 ÷ 5
= 5 r 1
Maximum number of 5 m cubes
= 27 x 5 x 5
= 675
(b)
Area of the 2 squares
= 2 x 26 x 26
= 1352 m
2 Area of the top and bottom bases
= 2 x 137 x 26
= 7124 m
2 Area of 1 L-shaped side
= 137 x 1 + (26 - 1) x 2
= 137 + 50
= 187 m
2Area of 2 L-shaped sides
= 2 x 187
= 374 m
2 Total surface area
= 7124 + 1352 + 374
= 8850 m
2 Answer(s): (a) 675; (b) 8850 m
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