The figure shows a metallic cuboid that measures 110 cm by 26 cm by 26 cm.
- Find the maximum number of 4-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
= 110 ÷ 4
= 27 r 2
Breath = Height
Number of cubes along the breadth or height
= 26 ÷ 4
= 6 r 2
Maximum number of 4 cm cubes
= 27 x 6 x 6
= 972
(b)
Area of the 2 squares
= 2 x 26 x 26
= 1352 cm
2 Area of the top and bottom bases
= 2 x 110 x 26
= 5720 cm
2 Area of 1 L-shaped side
= 110 x 2 + (26 - 2) x 2
= 220 + 48
= 268 cm
2Area of 2 L-shaped sides
= 2 x 268
= 536 cm
2 Total surface area
= 5720 + 1352 + 536
= 7608 cm
2 Answer(s): (a) 972; (b) 7608 cm
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