volume of a cube
7 results
volume of a cube - 3-dimensional space occupied by a cube
Formula: s3
A cube has an edge that is x cm long. What is the capacity of C(x)?A cube has an edge that is x cm long. What is the capacity of C(x)?
Capacity is another word for volume, or the amount an object will hold. Given a side x, the capacity (volume) of a cube is:
C(x) = [B]x^3[/B]
A cubical storage box has edges that are 2 feet 4 inches long. What is the volume of the storage boxA cubical storage box has edges that are 2 feet 4 inches long. What is the volume of the storage box?
Since 1 foot = 12 inches, we have:
2 feet 4 inches = 2(12) + 4
2 feet 4 inches = 24 + 4
2 feet 4 inches = 28 inches
We type [URL='https://www.mathcelebrity.com/cube.php?num=28&pl=Side&type=side&show_All=1']cube side = 28[/URL] into our search engine to get:
V = [B]21952 cubic inches[/B]
A spherical water tank holds 11,500ft^3 of water. What is the diameter?A spherical water tank holds 11,500ft^3 of water. What is the diameter?
The tank holding amount is volume. And the volume of a sphere is:
V = (4pir^3)/3
We know that radius is 1/2 of diameter:
r =d/2
So we rewrite our volume function:
V = 4/3(pi(d/2)^3)
We're given V = 11,500 so we have:
4/3(pi(d/2)^3) = 11500
Multiply each side by 3/4
4/3(3/4)(pi(d/2)^3) = 11,500*3/4
Simplify:
pi(d/2)^3 = 8625
Since pi = 3.1415926359, we divide each side by pi:
(d/2)^3 = 8625/3.1415926359
(d/2)^3 = 2745.42
Take the cube root of each side:
d/2 = 14.0224
Multiply through by 2:
[B]d = 28.005[/B]
CubeFree Cube Calculator - Solves for Volume (Capacity), Lateral Area,Surface Area, and the value of a side for a cube.
How many cubic inches are in a cubic foot?How many cubic inches are in a cubic foot?
Volume of a cube with 12 inch (1 foot sides) = 12 * 12 * 12 = [B]1728 cubic inches[/B]
If V is the volume of a cube whose side is s, express s in terms of V:If V is the volume of a cube whose side is s, express s in terms of V:
We know the Volume (V) of a cube with side length s is:
V = s^3
Take the cube root of each side:
V^1/3 = (s^3)^1/3
s = [B]V^1/3[/B]
Please help me!! I don't understand!Figure 1, we have a cone, cylinder, and cube. Let's get the volume of each
Cone volume = pir^2h/3
radius = s/2
h = s
Cone Volume = pi(s/2)^2(s)/3
Cone Volume = pis^3/12
Volume of cube = s^3
Volume of cylinder = pir^2h
Volume of cylinder = pi(s/2)^2s
Volume of cylinder = pis^3/2
But Figure 2 has no sizes? For sides, height, etc. So I cannot answer the question until I have that.