The figure shows a wooden cuboid that measures 148 m by 13 m by 13 m.
- Find the maximum number of 3-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
= 148 ÷ 3
= 49 r 1
Breath = Height
Number of cubes along the breadth or height
= 13 ÷ 3
= 4 r 1
Maximum number of 3 m cubes
= 49 x 4 x 4
= 784
(b)
Area of the 2 squares
= 2 x 13 x 13
= 338 m
2 Area of the top and bottom bases
= 2 x 148 x 13
= 3848 m
2 Area of 1 L-shaped side
= 148 x 1 + (13 - 1) x 1
= 148 + 12
= 160 m
2Area of 2 L-shaped sides
= 2 x 160
= 320 m
2 Total surface area
= 3848 + 338 + 320
= 4506 m
2 Answer(s): (a) 784; (b) 4506 m
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