menu
Qammunity
Login
Register
My account
Edit my Profile
Private messages
My favorites
Ask a Question
Questions
Unanswered
Tags
Categories
Ask a Question
A farmer is building a grain silo storage. He estimates that will need 256 cubic yards of storage. The grain silo will be shaped as a cube. How long should one side of grain silo be?
asked
Mar 19, 2018
136k
views
5
votes
A farmer is building a grain silo storage. He estimates that will need 256 cubic yards of storage. The grain silo will be shaped as a cube. How long should one side of grain silo be?
Mathematics
high-school
Genpfault
asked
by
Genpfault
8.6k
points
answer
comment
share this
share
0 Comments
Please
log in
or
register
to add a comment.
Please
log in
or
register
to answer this question.
2
Answers
3
votes
When we refer to cube, this means than all sides have the same measures because its faces are square in shape.
Since area of a square is equal to the square of its sides, the volume of the cube it creates is equal to the cube of its sides.
Regular volume = length * width * height
Volume of a cube = side * side * side = (side)³
Given: Volume = 256 cubic yards.
We just need to get the cube root of the volume.
side = ∛256
Get the factors of 256 that has a whole number as its cube root and get the cube root.
side = ∛(8 * 32)
side = ∛8 * ∛32
side = 2 * ∛(8 * 4)
side = 2 * ∛8 * ∛4
side = 2 * 2 * ∛4
side = 4 ∛4
Each side of the cube will measure 4 ∛4 yards or 6.35 yards.
To check:
(4 ∛4)³ → 4³ * (∛4)³ → 64 * 4 = 256
6.35³ = 256.05
Siu
answered
Mar 22, 2018
by
Siu
7.5k
points
ask related question
comment
share this
0 Comments
Please
log in
or
register
to add a comment.
6
votes
Having the length of a side(noticed with l), the volume of the cube is equal to:
V = l*l*l
V=l^3
To find the numeric value of l: l =
In our problem V =
256
l =
Daniel Cho
answered
Mar 25, 2018
by
Daniel Cho
8.1k
points
ask related question
comment
share this
0 Comments
Please
log in
or
register
to add a comment.
← Prev Question
Next Question →
Related questions
asked
May 25, 2018
107k
views
A farmer is building a grain silo for storage. he estimates that will need 256 cubic yards of storage. the grain silo will be shaped as a cube. how long should one side of the grain silo be? (recall that
CubeSchrauber
asked
May 25, 2018
by
CubeSchrauber
9.4k
points
Mathematics
high-school
1
answer
2
votes
107k
views
asked
Feb 22, 2019
135k
views
A farmer is building a grain silo for storage. he estimates that will need 256 cubic yards of storage. the grain silo will be shaped as a cube. how long should one side of the grain silo be? (recall that
TheFrack
asked
Feb 22, 2019
by
TheFrack
8.4k
points
Mathematics
college
1
answer
1
vote
135k
views
asked
Feb 25, 2020
115k
views
A farmer is building a grain silo for storage. He estimates that will need 256 cubic yards of storage. The grain silo will be shaped as a cube. How long should one side of the grain silo be? (Recall that
Ashok Anumula
asked
Feb 25, 2020
by
Ashok Anumula
8.1k
points
Mathematics
middle-school
1
answer
1
vote
115k
views
Ask a Question
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.
9.4m
questions
12.2m
answers
Other Questions
How do you can you solve this problem 37 + y = 87; y =
What is .725 as a fraction
A bathtub is being filled with water. After 3 minutes 4/5 of the tub is full. Assuming the rate is constant, how much longer will it take to fill the tub?
i have a field 60m long and 110 wide going to be paved i ordered 660000000cm cubed of cement how thick must the cement be to cover field
Write words to match the expression. 24- ( 6+3)
Twitter
WhatsApp
Facebook
Reddit
LinkedIn
Email
Link Copied!
Copy
Search Qammunity