Answered

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Find the edge of a cube whose volume is equal to the volume of a cuboid with dimensions 36 cm × 75 cm × 80 cm.

Sagot :

Given:

Dimensions of a cuboid = 36 cm × 75 cm × 80 cm.

To find:

The edge of a cube whose volume is equal to the volume of the given cuboid.

Solution:

We know that the volume of a cuboid is

[tex]Volume=length\times breadth \times height[/tex]

[tex]V_1=36\times 75 \times 80[/tex]

[tex]V_1=216000[/tex]

The volume of a cube is

[tex]Volume=a^3[/tex]

Where, a is the side length of the cube.

The volume of cube and cuboid are equal. So,

[tex]a^3=216000[/tex]

[tex]a=\sqrt[3]{216000}[/tex]

[tex]a=60[/tex]

Therefore, the measure of edge of the cube is 60 cm.

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