The figure shows a metallic cuboid that measures 100 cm by 16 cm by 16 cm.
- Find the maximum number of 9-cm 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
= 100 ÷ 9
= 11 r 1
Breath = Height
Number of cubes along the breadth or height
= 16 ÷ 9
= 1 r 7
Maximum number of 9 cm cubes
= 11 x 1 x 1
= 11
(b)
Area of the 2 squares
= 2 x 16 x 16
= 512 cm
2 Area of the top and bottom bases
= 2 x 100 x 16
= 3200 cm
2 Area of 1 L-shaped side
= 100 x 7 + (16 - 7) x 1
= 700 + 9
= 709 cm
2Area of 2 L-shaped sides
= 2 x 709
= 1418 cm
2 Total surface area
= 3200 + 512 + 1418
= 5130 cm
2 Answer(s): (a) 11; (b) 5130 cm
2