The figure shows a rubber cuboid that measures 150 m by 26 m by 26 m.
- Find the maximum number of 9-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
= 150 ÷ 9
= 16 r 6
Breath = Height
Number of cubes along the breadth or height
= 26 ÷ 9
= 2 r 8
Maximum number of 9 m cubes
= 16 x 2 x 2
= 64
(b)
Area of the 2 squares
= 2 x 26 x 26
= 1352 m
2 Area of the top and bottom bases
= 2 x 150 x 26
= 7800 m
2 Area of 1 L-shaped side
= 150 x 8 + (26 - 8) x 6
= 1200 + 108
= 1308 m
2Area of 2 L-shaped sides
= 2 x 1308
= 2616 m
2 Total surface area
= 7800 + 1352 + 2616
= 11768 m
2 Answer(s): (a) 64; (b) 11768 m
2