Cuboid

In a rectangular solid, the lenght, width and height might be of different lenghts

Volume

The volume is found using the formula:

Surface area

For  example:

For  example:

To find the volume we mulptiply the sides.

V=3∙4∙7 = 84 cm³

^Exercises

1. A cuboid has lateral surface 199 cm²  . The base has sides 23 cm and 14 cm long. Calculate the height. Solution
2. A cuboid has its height equal to the diagonal of the base. The sum of the two sides of the base is 21 cm and one is 3/4 of the other. Calculate the total surface area.
3. The diagonal of a cuboid is 117 cm the base has sides 36 cm and 27 cm long. Calculate the volume and the total surface area.
4. A cuboid has the perimeter of the base equal to 84 dm and one side is 3/4 of the other. The height is 40 dm long. Calculate the total surface area.
5. The sum of two sides of a cuboid is 14 cm and one side is 4/3 of the other. Knowing that the total surface area is 768 cm² , calculate the third dimension of the cuboid.
6. The difference between two sides of a cuboid is 14 cm and one side 15/8 of the other. The third side (height) is 33 cm long. A second cuboid has a squared base with 121 cm² area and has the same lateral area of the first one. Calculate the third side.
7. A cuboid has two sides 13 cm and 15 cm long. The total surface area is 950 cm² . Calculate the volume. Solution
8. The squared base of a cuboid is 576 cm² . The height of the cuboid is 1/12 of the perimeter of the base. Calculate lateral surface and volume.
9. The volume of a cuboid is 108 cm³ and two sides are 4.5 cm and 6 cm long. Calculate the diagonal and the total surface area of the cuboid.
10. The volume of a cuboid is 1768 cm³ . The sum and the difference between two sides are 30 cm and 4 cm. Calculate the lenght of the third side.
11. The perimeter of the base of a cuboid is 66 cm and one side is 6/5 of the other. The volume is 2.97dm³ . Calculate the lenght of the third side.