The figure shows a rubber cuboid that measures 145 m by 25 m by 25 m.
- Find the maximum number of 8-m cubes that can be cut from the rubber cuboid.
- Find the total surface area of the L-shaped block after cutting.
(a)
Number of cubes along the length
= 145 ÷ 8
= 18 r 1
Breath = Height
Number of cubes along the breadth or height
= 25 ÷ 8
= 3 r 1
Maximum number of 8 m cubes
= 18 x 3 x 3
= 162
(b)
Area of the 2 squares
= 2 x 25 x 25
= 1250 m
2 Area of the top and bottom bases
= 2 x 145 x 25
= 7250 m
2 Area of 1 L-shaped side
= 145 x 1 + (25 - 1) x 1
= 145 + 24
= 169 m
2Area of 2 L-shaped sides
= 2 x 169
= 338 m
2 Total surface area
= 7250 + 1250 + 338
= 8838 m
2 Answer(s): (a) 162; (b) 8838 m
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