The figure shows a wooden cuboid that measures 141 m by 37 m by 37 m.
- Find the maximum number of 7-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
= 141 ÷ 7
= 20 r 1
Breath = Height
Number of cubes along the breadth or height
= 37 ÷ 7
= 5 r 2
Maximum number of 7 m cubes
= 20 x 5 x 5
= 500
(b)
Area of the 2 squares
= 2 x 37 x 37
= 2738 m
2 Area of the top and bottom bases
= 2 x 141 x 37
= 10434 m
2 Area of 1 L-shaped side
= 141 x 2 + (37 - 2) x 1
= 282 + 35
= 317 m
2Area of 2 L-shaped sides
= 2 x 317
= 634 m
2 Total surface area
= 10434 + 2738 + 634
= 13806 m
2 Answer(s): (a) 500; (b) 13806 m
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