Math Problem Statement

a building with 2550 square meters with a rectangular 70 meters to 20 meters with height of 8 meters what will volume in cubic meters

Solution

To find the volume of the building in cubic meters, you can use the formula for the volume of a rectangular prism:

Volume=Length×Width×Height\text{Volume} = \text{Length} \times \text{Width} \times \text{Height}

Given:

  • Length (LL) = 70 meters
  • Width (WW) = 20 meters
  • Height (HH) = 8 meters

Substituting these values into the formula:

Volume=70×20×8=11,200 cubic meters\text{Volume} = 70 \times 20 \times 8 = 11,200 \text{ cubic meters}

So, the volume of the building is 11,200 cubic meters.

Would you like to explore more details or have any other questions?

Here are five related questions:

  1. How would the volume change if the height increased to 10 meters?
  2. What would be the surface area of the building, considering the roof and walls?
  3. How does the volume compare to another building with different dimensions but the same height?
  4. What is the total area of the four walls of the building?
  5. How many liters of paint would be needed to paint the interior walls if 1 liter covers 10 square meters?

Tip: Remember, volume is always calculated in cubic units, while area is calculated in square units.

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Math Problem Analysis

Mathematical Concepts

Geometry
Volume of Rectangular Prism

Formulas

Volume = Length × Width × Height

Theorems

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Suitable Grade Level

Grades 5-7