Calculate Volume: Finding Total Space of 3 Identical 130 m³ Cuboids

Question

The volume of a cuboid is equal to 130 cubic meters.

What is the volume of 3 such cubes of the same size, given in m³?

Video Solution

Solution Steps

00:09 Let's find the volume of three boxes in cubic centimeters.
00:14 First, multiply the volume of one box by three, to get the volume of all three boxes.
00:20 Now, since this volume is in cubic meters, let's convert it to cubic centimeters.
00:27 To make this conversion, multiply the result by one million.
00:35 Alright, let's do the calculation together.
00:42 And there you have it! That's the solution to our problem.

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Calculate the total volume of 3 cuboids in cubic meters.
  • Step 2: Convert this volume from cubic meters to cubic centimeters.

Let's go through each step:

Step 1: The volume of one cuboid is given as 130m3130 \, m^3. Since we need the volume of 3 such cuboids, we multiply:

3×130m3=390m33 \times 130 \, m^3 = 390 \, m^3

Step 2: To convert cubic meters to cubic centimeters, we use the conversion factor: 1m3=1,000,000cm31 \, m^3 = 1,000,000 \, cm^3. Therefore,

390m3=390×1,000,000cm3=390,000,000cm3390 \, m^3 = 390 \times 1,000,000 \, cm^3 = 390,000,000 \, cm^3.

Therefore, the volume of 3 cuboids in cubic centimeters is 390,000,000cm3\mathbf{390,000,000 \, cm^3}.

Answer

390,000,000cm3 390,000,000cm^3