At Westonci.ca, we make it easy for you to get the answers you need from a community of knowledgeable individuals. Get immediate answers to your questions from a wide network of experienced professionals on our Q&A platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.
Sagot :
Answer:
1.27
Step-by-step explanation:
When completing word problems, it's always important to first turn everything into an equation.
The volume of a rectangular box is:
[tex]V=lhw[/tex]
Where l is the length, h is the height, and w is the width.
Which we can write down the equation:
[tex]47 ft^3=(4w)(6+w)(w)[/tex]
Next up, distribute:
[tex]47=4w^2(6+w)\\47=24w^2+4w^3\\4w^3+24w^2-47=0[/tex]
We have a cubic equation, you can solve it using a calculator.
We have three solutions, and they are:
[tex]w=-5.62919529..., -1.64201009..., 1.27120539...[/tex]
Since lengths cannot be negative, there is just one solution: [tex]w=1.27120539...[/tex]
And rounding it gives:
[tex]w=1.27[/tex]
And don't forget to put ft at the end!
Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.
