Math Problem Statement

A water tank is built in the form of a right rectangular prism, with dimensions that measure 13.1 ft by 4.4 ft by 4 ft. How many cubic feet of water would it hold when it is full? Round your answer to the nearest tenth if necessary.

Solution

To determine the volume of water the tank can hold when full, we calculate the volume of the right rectangular prism using the formula:

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

Given:

  • Length = 13.1 ft
  • Width = 4.4 ft
  • Height = 4 ft

Now, calculating the volume:

Volume=13.1×4.4×4\text{Volume} = 13.1 \times 4.4 \times 4

Let's compute this.Let's calculate it manually.

Volume=13.1×4.4×4=57.64×4=230.56cubic feet\text{Volume} = 13.1 \times 4.4 \times 4 = 57.64 \times 4 = 230.56 \, \text{cubic feet}

Rounding to the nearest tenth, the water tank can hold 230.6 cubic feet of water when full.

Would you like more details or have any questions?

Here are 5 related questions for further practice:

  1. How much water would the tank hold if the height were increased by 2 feet?
  2. If the tank is only half full, how many cubic feet of water is in it?
  3. What is the surface area of the tank?
  4. How much water would the tank hold in gallons if 1 cubic foot equals 7.48 gallons?
  5. If the tank has a 1-inch thick layer of material inside, what would the new volume be?

Tip: The volume of a prism depends on the area of the base multiplied by the height.

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Math Problem Analysis

Mathematical Concepts

Geometry
Volume of Prisms

Formulas

Volume = Length × Width × Height

Theorems

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Suitable Grade Level

Grades 6-8