bata45558 bata45558
  • 24-11-2020
  • Mathematics
contestada

The volume of a cube is 1.5 m3. Find the length of its edge to the nearest tenth of a meter.

Respuesta :

erinna erinna
  • 30-11-2020

Given:

Volume of a cube = 1.5 m³

To find:

The length of its edge to the nearest tenth of a meter.

Solution:

Let a be the length of its edge.

We know that, volume of a cube is

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

where, a is edge.

Volume of a cube = 1.5 m³

[tex]a^3=1.5[/tex]

Taking cube root on both sides, we get

[tex]a=\sqrt[3]{1.5}[/tex]

[tex]a=1.14471424[/tex]

Approximate the value to the nearest tenth (one decimal place) of a meter.

[tex]a\approx 1.1[/tex]

Therefore, the length of the edge of the cube is about 1.1 meters.

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