A rectangular parallelepiped 2 m wide, 3 m long and 4 m high was made of cubes with an edge of 1 dm

| April 28, 2021 | education

A rectangular parallelepiped 2 m wide, 3 m long and 4 m high was made of cubes with an edge of 1 dm, after which all the cubes were disassembled and laid out in one strip. How many decimeters is the length of the resulting strip?

Let’s calculate the volume of a rectangular parallelepiped 2 m wide, 3 m long and 4 m high.

V = 2 m * 3 m * 4 m = 24 m³.

Let’s translate the volume of a parallelepiped into dm³.

24 m³ * 1000 = 24000 dm³.

We divide the volume of a parallelepiped by the volume of one cube with an edge of 1 dm, and we get the number of cubes.

24000 dm³ ÷ (1 dm) ³ = 24000 cubes.

We multiply the number of cubes by the length of the edge of one cube, find out the length of the strip.

24000 * 1 dm =

Answer: the length of the resulting strip is 24000 dm.



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