A cuboid has the dimensions shown in the diagram below.
Which rectangles form the cuboid?
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A cuboid has the dimensions shown in the diagram below.
Which rectangles form the cuboid?
Every cuboid is made up of rectangles. These rectangles are the faces of the cuboid.
As we know that in a rectangle the parallel faces are equal to each other, we can conclude that for each face found there will be two rectangles.
Let's first look at the face painted orange,
It has width and height, 5 and 3, so we already know that they are two rectangles of size 5x6
Now let's look at the side faces, they also have a height of 3, but their width is 6,
And then we understand that there are two more rectangles of 3x6
Now let's look at the top and bottom faces, we see that their dimensions are 5 and 6,
Therefore, there are two more rectangles that are size 5x6
That is, there are
2 rectangles 5X6
2 rectangles 3X5
2 rectangles 6X3
Two 5X6 rectangles
Two 3X5 rectangles
Two 6X3 rectangles
A cuboid is shown below:
What is the surface area of the cuboid?
A cuboid is a 3D shape with pairs of opposite faces. Think of it like a box: top and bottom, front and back, left and right - that's 3 pairs = 6 faces total!
Look at each face and identify its length and width. For a 3×5×6 cuboid: the front/back faces are 3×6, top/bottom are 5×6, and left/right sides are 3×5.
No! 3×5 and 5×3 represent the same rectangle - just rotated. In geometry, we typically list dimensions in a consistent order, but both represent identical rectangles.
Try drawing the cuboid or use physical objects like boxes! You can also mentally unfold the cuboid like a box being flattened - this helps you see all 6 faces clearly.
Use the formula: opposite faces are identical. Count the different face types, then multiply by 2. For any cuboid with dimensions a×b×c, you get faces: 2(a×b), 2(a×c), and 2(b×c).
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