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

00:00 Find the volume of 3 boxes in cubic cm
00:03 Multiply the volume of one box by 3 to find the volume of 3 boxes
00:11 This is the volume of 3 boxes in cubic meters, now let's convert to cubic cm
00:18 To convert to cubic cm, multiply by a million
00:26 Let's calculate
00:33 And this is the solution to the question

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