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primary 6 | Maths
| Geometry
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= Volume of 5 cuboids
= 675cm³ x 5
= 3375cm³
3375cm³ = 15cm x 15cm x 15cm
(Or ³√3375 = 15)
So the cube has sides of 15cm
Height of 1 cube = 15cm ÷ 5 = 3cm
So now you know each cuboid has length and width of 15cm and height 3cm.
Area of top and bottom face
2 x 15cm x 15cm = 450cm²
Area of side faces
= 2 x 15cm x 3cm = 90cm²
Area of front and back face
= 2 x 15cm x 3cm = 90cm²
(Realise that the side faces and front and back faces are identical in area as they are all identical rectangles with same length and width)
Total area of 1 cuboid that is painted
= 90cm² + 90cm² + 450cm²
= 630cm²
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