The figure shows a rubber cuboid that measures 148 m by 16 m by 16 m.
- Find the maximum number of 6-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
= 148 ÷ 6
= 24 r 4
Breath = Height
Number of cubes along the breadth or height
= 16 ÷ 6
= 2 r 4
Maximum number of 6 m cubes
= 24 x 2 x 2
= 96
(b)
Area of the 2 squares
= 2 x 16 x 16
= 512 m
2 Area of the top and bottom bases
= 2 x 148 x 16
= 4736 m
2 Area of 1 L-shaped side
= 148 x 4 + (16 - 4) x 4
= 592 + 48
= 640 m
2Area of 2 L-shaped sides
= 2 x 640
= 1280 m
2 Total surface area
= 4736 + 512 + 1280
= 6528 m
2 Answer(s): (a) 96; (b) 6528 m
2