Math Problem Statement

Calculate the volume of a rectangular prism with a base area of 20 cm² and a height of 2 cm.

Solution

The image shows a rectangular prism (or box) with a height of 2 cm and a base area of 20 cm².

To calculate the volume of this prism, you use the formula for the volume of a rectangular prism:

Volume=Base Area×Height\text{Volume} = \text{Base Area} \times \text{Height}

In this case:

  • Base Area = 20 cm²
  • Height = 2 cm

So, the volume of the box is:

Volume=20cm2×2cm=40cm3\text{Volume} = 20 \, \text{cm}^2 \times 2 \, \text{cm} = 40 \, \text{cm}^3

Therefore, the volume of the box is 40 cm³.

Would you like more details or have any questions?

Here are 5 related questions to expand on this concept:

  1. How do you calculate the surface area of this rectangular prism?
  2. What would the volume be if the height were doubled?
  3. If the base area were increased by 50%, what would be the new volume?
  4. How do you calculate the dimensions of the base if only the area is known?
  5. What is the significance of the volume in practical applications?

Tip: Always make sure to use consistent units when performing calculations involving volume, area, and height!

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Math Problem Analysis

Mathematical Concepts

Geometry
Volume Calculation

Formulas

Volume = Base Area × Height

Theorems

Volume of a Rectangular Prism

Suitable Grade Level

Grades 6-8