Question

Two cubes each with 3 cm edge placed side by side to form a cuboid. Draw an isometric sketch of this cuboid and find dimensions of cuboid in cm.
A.6,3,3
B.3,3,3
C.6,3,6
D.9,6,3

Answer 1

Hint: In a 2-dimensional system, when two squares are joined side by side they form a rectangle, in the same way in a 3-dimensional system when two cubes are joined side by side they will form a cuboid. A cube is a three dimensional figure whose all sides are equal and all of its faces are square whereas else in cuboid is a three dimensional figure whose all sides are not equal and all of its 6 faces are rectangles. But the number of vertices, edges and the face are equal in both the figures.

Complete step-by-step answer:
Isometric sketch is a pictorial representation of an object in which all three-dimensions are drawn at full scale. In this case all the lines parallel to its major axes are measurable.
In this question, two cubes are joined side-by side such that it will result in a cuboid. We need to determine the dimensions of the cuboid and plot the isometric sketch for the same. For this we need to assume that the cubes are joined along the length such that the length of the cuboid will be twice that of the cube while the height and the width will remain the constant.
Given the sides of the cube = 3cm

Now the two cubes of same dimensions are joined together, so we get

Hence the dimension of the cuboid formed by joining two cubes is
\[l \times b \times h = 6cm \times 3cm \times 3cm\]
Where,
\[l\]is the length of the cuboid formed
\[b\]is the breadth
\[h\]is its height
So, the correct answer is “Option A”.

Note: Students must note since it was said that the cuboid is formed by joining cubes then another method to find dimension was to add the dimension of two cubes where length was only affected.
Rules of isometric drawing:
Horizontal edges are drawn at 30 degrees.
Vertical edges are drawn as vertical lines.
Parallel edges appear as parallel lines.