The figure shows a metallic cuboid that measures 118 m by 33 m by 33 m.
- Find the maximum number of 8-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
= 118 ÷ 8
= 14 r 6
Breath = Height
Number of cubes along the breadth or height
= 33 ÷ 8
= 4 r 1
Maximum number of 8 m cubes
= 14 x 4 x 4
= 224
(b)
Area of the 2 squares
= 2 x 33 x 33
= 2178 m
2 Area of the top and bottom bases
= 2 x 118 x 33
= 7788 m
2 Area of 1 L-shaped side
= 118 x 1 + (33 - 1) x 6
= 118 + 192
= 310 m
2Area of 2 L-shaped sides
= 2 x 310
= 620 m
2 Total surface area
= 7788 + 2178 + 620
= 10586 m
2 Answer(s): (a) 224; (b) 10586 m
2