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Chapter 2: Problem 162

A block measures \(6.0 \mathrm{~cm}\) on each side. What is the volume of the block in cubic meters?

Short Answer

Expert verified
The volume of the block is approximately \(0.000216 m^3\).

Step by step solution

01

Identify the formula for the volume of a cube

Since the block is a cube, we can calculate the volume using the formula: Volume = side^3 where side is the length of each side of the cube.
02

Calculate the volume in cubic centimeters

Given that each side of the cube measures 6.0 cm, we can find the volume as follows: Volume = (6.0 cm)^3 = 216.0 cm^3
03

Convert the volume from cubic centimeters to cubic meters

We know that 1 m = 100 cm, so 1 m^3 = (100 cm)^3 = 1,000,000 cm^3. To convert the volume from cubic centimeters to cubic meters, we can use the following formula: Volume (m^3) = Volume (cm^3) / 1,000,000
04

Calculate the volume in cubic meters

Now we can find the volume in cubic meters using the conversion formula: Volume (m^3) = 216.0 cm^3 / 1,000,000 = 0.000216 m^3 So, the volume of the block is approximately 0.000216 cubic meters.

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