Math Problem Statement

one half LWH12LWH​,

Upper L equals 25.4L=25.4​,

Upper W equals 5.1W=5.1​,

and Upper H equals 7.5

Solution

You provided an expression, but it's a bit unclear due to formatting. Based on the information provided, it looks like you're dealing with the formula for the volume of a rectangular prism:

V=12LWHV = \frac{1}{2} L W H

where:

  • L=25.4L = 25.4
  • W=5.1W = 5.1
  • H=7.5H = 7.5

Step 1: Plug in the given values

Substituting the values of LL, WW, and HH into the formula:

V=12×25.4×5.1×7.5V = \frac{1}{2} \times 25.4 \times 5.1 \times 7.5

Step 2: Perform the calculations

Let's compute the volume.

Given values

L = 25.4 W = 5.1 H = 7.5

Calculate the volume V = (1/2) * L * W * H

V = (1/2) * L * W * H VThe volume of the rectangular prism is:

V=485.775 cubic unitsV = 485.775 \text{ cubic units}

Would you like further clarification on the calculation, or do you have any other questions?

Related Questions:

  1. How does the volume change if LL, WW, or HH is doubled?
  2. What would the volume be if only the height HH were halved?
  3. How can the formula for the volume of other shapes be derived similarly?
  4. What practical scenarios involve calculating the volume of rectangular prisms?
  5. How does the factor of 12\frac{1}{2} affect the volume?

Tip:

Always ensure you correctly match units when calculating volume, as inconsistent units can lead to significant errors.

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Math Problem Analysis

Mathematical Concepts

Geometry
Volume of Rectangular Prism

Formulas

Volume of a Rectangular Prism: V = (1/2) * L * W * H

Theorems

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Suitable Grade Level

Grades 7-9