Question

Four cubes, each of edge 9 cm, are joined as shown in the figure below: Write the dimensions of the resulting cuboid obtained?

Answer 1

Hint: We start solving the problem by finding the height and breadth of the obtained cuboid as it is the same as the length of the side of the cube. We then find the length of the cuboid by adding the lengths of the cubes we have just placed side to each other. We then make the necessary calculations to get the length of the cuboid along with the other dimensions.

Complete step-by-step solution
According to the problem, we are given that four cubes are placed side to each other as shown in the figure to form a cuboid. We need to find the dimensions of the newly formed cuboid.
From the figure, we can see that the breadth and height of the cuboid are equal to 9 cm. We need to find the length of the cube.
We can see that the length of the cuboid is equal to the sum of the length of the four cubes.
So, we get the length of cuboid = $\left( 9+9+9+9 \right)$cm.
Length of cuboid = 36 cm.
So, we have found the dimensions of the cuboid as length – 36cm, breadth – 9cm, and height – 9cm.
$\therefore$ The length, breadth, and height of the obtained cuboid is 36 cm, 9 cm, and 9 cm.

Note: We should see the figure thoroughly before solving this problem. We can also find the area of each cube and area of the obtained cuboid using the dimensions we just got. We should not confuse the cuboid with the cube as the length of all the sides of the cube are equal, whereas it is not for the cuboid. Similarly, we can expect the problems to find the volume of the cube and cuboid.