Question

42 identical cubes, each with 1 cm edges are glued together to form a rectangular solid. If the perometer of the base 18 cm, find the height of the rectangular solid?

Answer 1

If you arrange the cubes as shown in the sketch, the perimeter will be 18cm because 7+7+2+2= 18cm
THEREFORE, total cubes in the base are 14.
Since we have the length and the width, we have to find the volume.
So assume the height as x. And follow the steps in the second picture, and you will get the height as 3cm.
Please mark this as brainliest answer. Thanks :)

Answer 2

The height of the rectangular solid will be 3cm

• If we will arrange the cubes as per the diagram, the perimeter of the figure will be 18 cm as 7+7+2+2= 18cm
• Since, the base of the rectangular solid is 18 cm and cube edge is 1 cm, then there must be 14 cubes at the base of the rectangular solid.
• Since, there are 42 identical cubes, thus they must be arranged in 3 layers of 14 cubes each.
• Therefore, the height of the rectangular solid = 3 × 1 = 3 cm