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Find the value of the expression for the given values:

[tex]\[\frac{1}{3} L W H\][/tex]

Given:

[tex]\[ L = 36.3, \][/tex]

[tex]\[ W = 5.4, \][/tex]

[tex]\[ H = 7.5 \][/tex]

Calculate [tex]\(\frac{1}{3} L W H = \square\)[/tex]. (Type an integer or a decimal.)

Answer :

To find the value of the expression [tex]\(\frac{1}{3} LWH\)[/tex] given [tex]\(L = 36.3\)[/tex], [tex]\(W = 5.4\)[/tex], and [tex]\(H = 7.5\)[/tex], follow these steps:

1. Multiply [tex]\(L\)[/tex], [tex]\(W\)[/tex], and [tex]\(H\)[/tex]:

First, multiply the length ([tex]\(L\)[/tex]), width ([tex]\(W\)[/tex]), and height ([tex]\(H\)[/tex]) together:
[tex]\[
36.3 \times 5.4 \times 7.5
\][/tex]

2. Calculate the product:

Find the product of these numbers:
- Start with [tex]\(36.3 \times 5.4 = 196.02\)[/tex].
- Next, multiply the result by [tex]\(7.5\)[/tex]: [tex]\(196.02 \times 7.5 = 1470.15\)[/tex].

3. Apply the fraction [tex]\(\frac{1}{3}\)[/tex]:

Divide the product by 3 to apply [tex]\(\frac{1}{3}\)[/tex]:
[tex]\[
\frac{1}{3} \times 1470.15 = 490.05
\][/tex]

Therefore, the value of the expression [tex]\(\frac{1}{3} LWH\)[/tex] is approximately [tex]\(490.05\)[/tex].

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