The figure shows a metallic cuboid that measures 130 m by 13 m by 13 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
= 130 ÷ 8
= 16 r 2
Breath = Height
Number of cubes along the breadth or height
= 13 ÷ 8
= 1 r 5
Maximum number of 8 m cubes
= 16 x 1 x 1
= 16
(b)
Area of the 2 squares
= 2 x 13 x 13
= 338 m
2 Area of the top and bottom bases
= 2 x 130 x 13
= 3380 m
2 Area of 1 L-shaped side
= 130 x 5 + (13 - 5) x 2
= 650 + 16
= 666 m
2Area of 2 L-shaped sides
= 2 x 666
= 1332 m
2 Total surface area
= 3380 + 338 + 1332
= 5050 m
2 Answer(s): (a) 16; (b) 5050 m
2