Question

The dimensions of a metallic cuboid are 100 cm x 40 cm x 16 cm. It is melted and recast into a cube. Find the side of the cube.​

Answer 1

Answer:

Step-by-step explanation:

so here given all the dimensions,

we understand that volume of the cuboid=volume of the cube,

first let us find the volume of cuboid.

V=100×40×16=64,000cm³

we know that the volume of a cube=(side)³

as the volume of both cuboid and cube are equal,

side³=64000⇒side=40cm

so,the side of the cube=40cm

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Answer 2

Given:

We have dimension of a mettalic cuboid are 100 cm x 40 cm x 16 cm.

And also this cuboid is melted and recast into a cube.

To Find:

Side of cube?

Step-by-step explanation:

• Since we length of cuboid=100cm

         breadth of cuboid=40cm

         height of cuboid=16cm

• Now volume of cuboid is given by the formula

          [tex]\textrm{Volume of cuboid}=Length\times breadth \times height\\\\ Volume=100\times40\times16\\ Volume=64000cm^3[/tex]

• Now this cubold it recast into cube then

• Vloume of cuboid must be equal to volume of cube

• Let the side of cube be a cm

            [tex]a^3=64000\\ a=\sqrt[3]{64000}=40cm [/tex]

Thus, side of cube is 40 cm.