Math Problem Statement

A storage bin on Oprah's farm is a rectangular prism with a base area of 21 square feet and a height of 4.5 feet. Select a number or unit for each blank to make the sentence correct. The volume capacity of Oprah's storage bin is [CHOICE 1] [CHOICE 2].

Solution

To solve the problem in the image:

We are given that the storage bin is a rectangular prism with:

  • Base area = 21 square feet
  • Height = 4.5 feet

The formula to calculate the volume VV of a rectangular prism is:

V=Base Area×HeightV = \text{Base Area} \times \text{Height}

Substituting the given values:

V=21square feet×4.5feetV = 21 \, \text{square feet} \times 4.5 \, \text{feet}

Now, performing the multiplication:

V=94.5cubic feetV = 94.5 \, \text{cubic feet}

Thus, the volume of Oprah's storage bin is 94.5 cubic feet.

Do you need further clarification or details?

Here are 5 related questions for practice:

  1. What is the volume of a rectangular prism with a base area of 30 square feet and a height of 6 feet?
  2. If the height of the bin were doubled, what would be the new volume?
  3. How do you calculate the surface area of a rectangular prism?
  4. What would happen to the volume if both the base area and height were halved?
  5. If the volume of a bin is 150 cubic feet and the base area is 25 square feet, what is its height?

Tip: Always ensure units are consistent when performing volume calculations!

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Math Problem Analysis

Mathematical Concepts

Geometry
Volume of Rectangular Prisms
Multiplication

Formulas

Volume of Rectangular Prism = Base Area × Height

Theorems

Geometric volume calculation

Suitable Grade Level

Grades 5-7