The figure shows a metallic cuboid that measures 125 m by 11 m by 11 m.
- Find the maximum number of 4-m cubes that can be cut from the metallic cuboid.
- Find the total surface area of the L-shaped block after cutting.
(a)
Number of cubes along the length
= 125 ÷ 4
= 31 r 1
Breath = Height
Number of cubes along the breadth or height
= 11 ÷ 4
= 2 r 3
Maximum number of 4 m cubes
= 31 x 2 x 2
= 124
(b)
Area of the 2 squares
= 2 x 11 x 11
= 242 m
2 Area of the top and bottom bases
= 2 x 125 x 11
= 2750 m
2 Area of 1 L-shaped side
= 125 x 3 + (11 - 3) x 1
= 375 + 8
= 383 m
2Area of 2 L-shaped sides
= 2 x 383
= 766 m
2 Total surface area
= 2750 + 242 + 766
= 3758 m
2 Answer(s): (a) 124; (b) 3758 m
2