Question

A piece of black onyx was cut into a rectangular solid measuring 5.10 cm by 5.10 cm by 2.50 mm . What is the volume in cubic centimeters?

Answer 1

`Volume = 6.5025cm^3`

Step-by-step explanation:

Given

Initial Form: Onyx

Final Form: Rectangular Solid

Dimension of Solid = 5.10 cm by 5.10 cm by 2.50 mm

Required

Volume of the solid (in cm³)

The volume of a solid is calculated as thus;

`Volume = Length * Width * Height`

Assume the following;

`Length = 5.10cm\\Width = 5.10cm\\Height = 2.50mm`

The first thing to do is to convert the assumed height from mm to cm

Given that;

`1mm = 0.1cm`

This implies that

`2.50mm = 2.50 * 0.1cm\\2.50mm = 0.25cm`

Hence, the dimension of the solid in cm is:

`Length = 5.10cm\\Width = 5.10cm\\Height = 0.25cm`

The Volume is then calculated as;

`Volume = 5.10cm* 5.10cm * 0.25cm`

`Volume = 6.5025cm^3`

Hence, the volume of the rectangular solid is
`Volume = 6.5025cm^3`