QuestionCalculate the volume of a rectangular prism with length $14.25 \, \text{ft}$ , width $13 \, \text{ft}$ , and height $4 \frac{1}{5} \, \text{ft}$ using $V=lwh$ .

Studdy Solution

STEP 1

Assumptions1. The length of the rectangular prism is $14.25 \, \text{ft}$ . The width of the rectangular prism is $13 \, \text{ft}$
3. The height of the rectangular prism is $4 \frac{1}{5} \, \text{ft}$
4. The volume of a rectangular prism is calculated using the formula $V=lwh$ , where $l$ is the length, $w$ is the width, and $h$ is the height.

STEP 2

First, we need to convert the height of the rectangular prism from a mixed number to a decimal. $4 \frac{1}{5} =4 + \frac{1}{5} =4 +0.2 =4.2 \, \text{ft}$

STEP 3

Now, we can use the formula to calculate the volume of the rectangular prism. $V = lwh$

STEP 4

Plug in the given values for the length, width, and height to calculate the volume.
$V =14.25 \, \text{ft} \times13 \, \text{ft} \times4.2 \, \text{ft}$

STEP 5

Calculate the volume of the rectangular prism.
$V =14.25 \, \text{ft} \times13 \, \text{ft} \times4.2 \, \text{ft} =780.75 \, \text{ft}^3$ The volume of the rectangular prism is $780.75 \, \text{ft}^3$ .

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Parents Influencer program Contact Policy Terms