Volume Units: A shape consisting of several shapes (requiring the same formula)

Examples with solutions for Volume Units: A shape consisting of several shapes (requiring the same formula)

Exercise #1

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

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

Exercise #2

A bottle can hold 1.8 liters. How many milliliters can 3 similar bottles hold?

Video Solution

Step-by-Step Solution

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

  • Step 1: Convert the volume of one bottle from liters to milliliters.
  • Step 2: Multiply the volume of one bottle by the number of bottles.

Step 1: Each bottle holds 1.8 liters. Since 1 liter is equal to 1000 milliliters, we convert 1.8 liters to milliliters:

1.8 liters×1000milliliters/liter=1800milliliters 1.8 \text{ liters} \times 1000 \, \text{milliliters/liter} = 1800 \, \text{milliliters} .

Step 2: Calculate the total capacity for 3 bottles:

1800milliliters/bottle×3bottles=5400milliliters 1800 \, \text{milliliters/bottle} \times 3 \, \text{bottles} = 5400 \, \text{milliliters} .

Therefore, the total capacity of 3 bottles is 5400milliliters 5400 \, \text{milliliters} .

Answer

5400ml 5400ml