The figure shows a plastic cuboid that measures 111 cm by 25 cm by 25 cm.
- Find the maximum number of 4-cm cubes that can be cut from the plastic cuboid.
- Find the total surface area of the L-shaped block after cutting.
(a)
Number of cubes along the length
= 111 ÷ 4
= 27 r 3
Breath = Height
Number of cubes along the breadth or height
= 25 ÷ 4
= 6 r 1
Maximum number of 4 cm cubes
= 27 x 6 x 6
= 972
(b)
Area of the 2 squares
= 2 x 25 x 25
= 1250 cm
2 Area of the top and bottom bases
= 2 x 111 x 25
= 5550 cm
2 Area of 1 L-shaped side
= 111 x 1 + (25 - 1) x 3
= 111 + 72
= 183 cm
2Area of 2 L-shaped sides
= 2 x 183
= 366 cm
2 Total surface area
= 5550 + 1250 + 366
= 7166 cm
2 Answer(s): (a) 972; (b) 7166 cm
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