The figure shows a metallic cuboid that measures 101 m by 21 m by 21 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
= 101 ÷ 8
= 12 r 5
Breath = Height
Number of cubes along the breadth or height
= 21 ÷ 8
= 2 r 5
Maximum number of 8 m cubes
= 12 x 2 x 2
= 48
(b)
Area of the 2 squares
= 2 x 21 x 21
= 882 m
2 Area of the top and bottom bases
= 2 x 101 x 21
= 4242 m
2 Area of 1 L-shaped side
= 101 x 5 + (21 - 5) x 5
= 505 + 80
= 585 m
2Area of 2 L-shaped sides
= 2 x 585
= 1170 m
2 Total surface area
= 4242 + 882 + 1170
= 6294 m
2 Answer(s): (a) 48; (b) 6294 m
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