Math Problem Statement

Find the volume of a rectangular prism with a length of 13.2 in, a width of 13.8 in and a height of 15.9 in, to the nearest tenth of a cubic inch.

Solution

The volume of a rectangular prism can be found using the formula:

V=Length×Width×HeightV = \text{Length} \times \text{Width} \times \text{Height}

Given:

  • Length = 13.2 inches
  • Width = 13.8 inches
  • Height = 15.9 inches

Now, let's calculate the volume:

V=13.2×13.8×15.9V = 13.2 \times 13.8 \times 15.9

First, multiply 13.2 and 13.8:

13.2×13.8=182.1613.2 \times 13.8 = 182.16

Next, multiply that result by 15.9:

182.16×15.9=2890.944182.16 \times 15.9 = 2890.944

Rounding to the nearest tenth:

V2890.9 cubic inchesV \approx 2890.9 \text{ cubic inches}

Thus, the volume of the rectangular prism is approximately 2890.9 cubic inches.

Would you like further explanation or help with another problem?

Here are some related questions:

  1. How does the volume formula change for other 3D shapes like cylinders or spheres?
  2. How do you calculate the surface area of a rectangular prism?
  3. What is the difference between volume and surface area?
  4. How do you convert cubic inches to cubic centimeters?
  5. How does the volume change if the height is doubled but the length and width remain the same?

Tip: When rounding to the nearest tenth, be mindful of digits after the decimal point—only consider the first decimal for rounding!

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Math Problem Analysis

Mathematical Concepts

Volume of Rectangular Prism
Multiplication
Rounding Numbers

Formulas

Volume = Length × Width × Height

Theorems

Volume formula for rectangular prism

Suitable Grade Level

Grades 6-8