![sandovalito](/avatars/49236.jpg)
sandovalito
22.03.2020 •
Mathematics
Fiona plans to make a box in the shape of a rectangular prism for storing her outdoor checkers pieces and the
checker board. In order to fit all of the pieces, the box will need to have a volume of 96 cubic feet. The place she
needs to store it only has a height of 2 feet. She comes up with two different designs for the box. One of the
designs has dimensions of:
2 feet high by 6 feet wide by 8 feet long
A. What could be the dimension, in feet, of Fiona's other box design? Why does this meet Fiona's
requirements? (Hint: The volume of a rectangular prism is lwh.) SHOW and EXPLAIN your work.
Dimensions of other box design:
Solved
Show answers
More tips
- F Family and Home Do Lullabies Help Babies Sleep or Is it Just a Myth?...
- H Health and Medicine Tick Traps: How to Remove Them Safely and Effectively...
- S Society and Politics Why are thugs called gopniks ? A fascinating journey through Russian subculture...
- A Animals and plants Want a Perfect Lawn? Learn How to Plant Grass the Right Way...
- A Animals and plants How to Properly Care for a Pet Decorative Rabbit at Home?...
- C Computers and Internet How to Check the Speed of My Internet?...
- H Health and Medicine 10 Ways to Cleanse Your Colon and Improve Your Health...
- W Work and Career How to Write a Resume That Catches the Employer s Attention?...
- C Computers and Internet Е-head: How it Simplifies Life for Users?...
- F Family and Home How to Choose the Best Diapers for Your Baby?...
Answers on questions: Mathematics
- M Mathematics Which geometric series converges?...
- M Mathematics How do i solve 2x+y=17 in slope intercept form?...
- M Mathematics What numbers are 1.4 units from −3.2 on a number line?...
- M Mathematics The ratio 30 in. to 9ft in simplest form...
- M Mathematics The indicated function y1(x) is a solution of the given differential equation. use reduction of order to find a second solution y2(x). x2y − 3xy + 4y = 0; y1 = x2...
- M Mathematics Na triangle, the measure of the first angle is twicetwice the measure of the second angle. the measure of the third angle is 68 degrees68° more than the measure of the second angle....
- M Mathematics Which equation applies the distributive property? a −2.5⋅(4⋅1.045)=(−2.5⋅4)⋅1.045−2.5⋅(4⋅1.045)=(−2.5⋅4)⋅1.045 b (0.5⋅0.5)+(0.5⋅0.3)+(0.5⋅0.2)=0.5⋅(0.5+0.3+0.2)(0.5⋅0.5)+(0.5⋅0.3)+(0.5⋅0.2)=0.5⋅(0.5+0.3+0.2)...
- M Mathematics Agroup of 44 friends meets for lunch. they greet each other by exchanging fist bumps. how many fist bumps are exchanged if each friend must bump with each of the 43 others?...
- M Mathematics Surface area of the large sphere is how many times the surface area of the small sphere...
- M Mathematics AB=5, BC=12, AC=13. What is the tanC? If your answer is a fraction, enter it like 3/5. Please answer, thanks :’)...
Ответ:
see the explanation
Step-by-step explanation:
we know that
The volume of the rectangular prism is given by
The box will need to have a volume of 96 cubic feet and a height of 2 feet
so
First design
we have
substitute the values
The first design meet Fiona's requirements
Second design
we have
substitute in the formula
Solve for (LW)
The area of the base must be equal to 48 square feet
We could have the following dimensions for L and W (the volume and the height are given)
12 feet by 4 feet ----> the base's area is equal to 48 square feet
16 feet by 3 feet ----> the base's area is equal to 48 square feet
2 feet by 24 feet ----> the base's area is equal to 48 square feet
4√3 feet by 4√3 ---> the base's area is equal to 48 square feet
All the above dimensions meet Fiona's requirements
therefore
The dimensions of the second design could be
2 feet high by 4 feet wide by 12 feet long
2 feet high by 3 feet wide by 16 feet long
2 feet high by 2 feet wide by 24 feet long
2 feet high by 4√3 feet wide by 4√3 feet long
Ответ:
None of them have perpendicular lines except for the blue one if I am seeing right.