Question

measurement and formula:
the volume of a rectangular prism is 300 cm³.
the height is 10cm and the length is 8.2cm.
determine the width.

Explanation:

For the rectangular prism width:

Step1: Recall volume formula

Volume \( V = l \times w \times h \)

Step2: Rearrange for width

\( w = \frac{V}{l \times h} \)

Step3: Substitute values

\( w = \frac{300}{8.2 \times 10} = \frac{300}{82} \approx 3.66 \)

Step1: Use Pythagorean theorem

\( x^2 = 11^2 + 60^2 \)

Step2: Calculate squares

\( x^2 = 121 + 3600 = 3721 \)

Step3: Take square root

\( x = \sqrt{3721} = 61 \)

Answer:

Approximately \( 3.7 \, \text{cm} \) (rounded to one decimal place)

For the right triangle hypotenuse \( x \):