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

Answer:

$Volume = 6.5025cm^3$

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 $Volume = 6.5025cm^3$