The figure shows a wooden cuboid that measures 140 m by 26 m by 26 m.
- Find the maximum number of 6-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
= 140 ÷ 6
= 23 r 2
Breath = Height
Number of cubes along the breadth or height
= 26 ÷ 6
= 4 r 2
Maximum number of 6 m cubes
= 23 x 4 x 4
= 368
(b)
Area of the 2 squares
= 2 x 26 x 26
= 1352 m
2 Area of the top and bottom bases
= 2 x 140 x 26
= 7280 m
2 Area of 1 L-shaped side
= 140 x 2 + (26 - 2) x 2
= 280 + 48
= 328 m
2Area of 2 L-shaped sides
= 2 x 328
= 656 m
2 Total surface area
= 7280 + 1352 + 656
= 9288 m
2 Answer(s): (a) 368; (b) 9288 m
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