Choose the correct sequence of steps to draw an isometric sketch of a cuboid of dimension $ 4\times 3\times 3 $ . Steps are given as below may be in jumbled order, identify the given correct order of steps;
A. Draw a rectangle to show the front face.
B. Connect the corners with appropriate line segments. Thus, we get an isometric sketch of a cuboid of given measurements.
C. Draw four parallel line segments of length 3 starting from the four corners of the rectangle.
Answer
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Hint: Isometric is the way of drawing a 3d figure in 2d plane. We will go through the steps mentioned in questions and see through which we can easily draw the whole cuboid easily by following the steps.
Complete step by step answer:
Moving ahead with the question, since there are three points given, let us see with which point we can easily go, or can come up with it. The first point says to make the front face of the cuboid, as it will be a rectangle which we can draw easily, and 2 point says to join the corners of the cuboid which won’t be possible, as for which we need at least one face of the cuboid. And the third step says to draw the parallel line segment starting from four corners, and again for these corners, we need at least one rectangular face of cuboid.
So step 1 will be first that we will do to make a isometric cuboid, as shown in figure 1 $ ABCD $
Now step third will come, because according to step we had to join the opposite corners, to get the isometric sketch of cuboid, but this will not give us any result, but we can draw four line segment of length 3 from the corners $ ABCD $ which will give us the figure as represented in figure 2.
Now final step i.e. step 2 remaining which says to join the opposite corners, to get the isometric figure of the cuboid, which we will get if we join opposite corners i.e. $ DE,EF,FG $ and $ GD $ , as represented in figure 3.
So we the cuboid named $ ABCDEFGH $
Hence the answer is first we will go with the first step, then third step and then at last we will go with the second step.
Note: When we will make the isometric on the grid line page then we can get the isometric with exact dimensions. Moreover isometric is when we see the figure from${{30}^{\circ }}$angle from one corner, that is perfect isometric, so if you make it on a grid page then you can achieve it easily.
Complete step by step answer:
Moving ahead with the question, since there are three points given, let us see with which point we can easily go, or can come up with it. The first point says to make the front face of the cuboid, as it will be a rectangle which we can draw easily, and 2 point says to join the corners of the cuboid which won’t be possible, as for which we need at least one face of the cuboid. And the third step says to draw the parallel line segment starting from four corners, and again for these corners, we need at least one rectangular face of cuboid.
So step 1 will be first that we will do to make a isometric cuboid, as shown in figure 1 $ ABCD $
Now step third will come, because according to step we had to join the opposite corners, to get the isometric sketch of cuboid, but this will not give us any result, but we can draw four line segment of length 3 from the corners $ ABCD $ which will give us the figure as represented in figure 2.
Now final step i.e. step 2 remaining which says to join the opposite corners, to get the isometric figure of the cuboid, which we will get if we join opposite corners i.e. $ DE,EF,FG $ and $ GD $ , as represented in figure 3.
So we the cuboid named $ ABCDEFGH $
Hence the answer is first we will go with the first step, then third step and then at last we will go with the second step.
Note: When we will make the isometric on the grid line page then we can get the isometric with exact dimensions. Moreover isometric is when we see the figure from${{30}^{\circ }}$angle from one corner, that is perfect isometric, so if you make it on a grid page then you can achieve it easily.
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