How to find the volume of a cube - ACT Math
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Find the volume of a cube given side length is 
.
Find the volume of a cube given side length is
To solve, simply cube the side length. Thus,
To solve, simply cube the side length. Thus,
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The density of gold is 
and the density of glass is 
. You have a gold cube that is 
in length on each side. If you want to make a glass cube that is the same weight as the gold cube, how long must each side of the glass cube be?
The density of gold is
Weight = Density * Volume
Volume of Gold Cube = side3= x3
Weight of Gold = 16 g/cm3 * x3
Weight of Glass = 3/cm3 * side3
Set the weight of the gold equal to the weight of the glass and solve for the side length:
16* x3 = 2 * side3
side3 = 16/2* x3 = 8 x3
Take the cube root of both sides:
side = 2x
Weight = Density * Volume
Volume of Gold Cube = side3= x3
Weight of Gold = 16 g/cm3 * x3
Weight of Glass = 3/cm3 * side3
Set the weight of the gold equal to the weight of the glass and solve for the side length:
16* x3 = 2 * side3
side3 = 16/2* x3 = 8 x3
Take the cube root of both sides:
side = 2x
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What is the sum of the number of vertices, edges, and faces of a cube?
What is the sum of the number of vertices, edges, and faces of a cube?
Vertices = three planes coming together at a point = 8
Edges = two planes coming together to form a line = 12
Faces = one plane as the surface of the solid = 6
Vertices + Edges + Faces = 8 + 12 + 6 = 26
Vertices = three planes coming together at a point = 8
Edges = two planes coming together to form a line = 12
Faces = one plane as the surface of the solid = 6
Vertices + Edges + Faces = 8 + 12 + 6 = 26
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What is the difference in volume between a sphere with radius x and a cube with a side of 2x? Let π = 3.14
What is the difference in volume between a sphere with radius x and a cube with a side of 2x? Let π = 3.14
Vcube = s3 = (2x)3 = 8x3
Vsphere = 4/3 πr3 = 4/3•3.14•x3 = 4.18x3
Vcube = s3 = (2x)3 = 8x3
Vsphere = 4/3 πr3 = 4/3•3.14•x3 = 4.18x3
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A tank measuring 3in wide by 5in deep is 10in tall. If there are two cubes with 2in sides in the tank, how much water is needed to fill it?
A tank measuring 3in wide by 5in deep is 10in tall. If there are two cubes with 2in sides in the tank, how much water is needed to fill it?
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A cube has edges that are three times as long as those of a smaller cube. The volume of the bigger cube is how many times larger than that of the smaller cube?
A cube has edges that are three times as long as those of a smaller cube. The volume of the bigger cube is how many times larger than that of the smaller cube?
If we let 
represent the length of an edge on the smaller cube, its volume is 
.
The larger cube has edges three times as long, so the length can be represented as 
. The volume is 
, which is 
.
The large cube's volume of 
is 27 times as large as the small cube's volume of 
.
If we let
The larger cube has edges three times as long, so the length can be represented as
The large cube's volume of
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Chemicals to clean a swimming pool cost $0.24 per cubic foot of water. If a pool is 6 feet deep, 14 feet long and 8 feet wide, how much does it cost to clean the pool? Round to the nearest dollar.
Chemicals to clean a swimming pool cost $0.24 per cubic foot of water. If a pool is 6 feet deep, 14 feet long and 8 feet wide, how much does it cost to clean the pool? Round to the nearest dollar.
The volume of the pool can be determined by multiplying the length, width, and height together.
Each cubit foot costs 24 cents, so:
The volume of the pool can be determined by multiplying the length, width, and height together.
Each cubit foot costs 24 cents, so:
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What is the volume of a cube that has a side length of 
inches?
What is the volume of a cube that has a side length of
We are given the side length of a cube so we simply plug that into the formula for the volume of a cube.
That formula is 
, and so the correct answer is
.
Make sure to check your units, 
is the correct number, but the units are squared rather than cubed.
We are given the side length of a cube so we simply plug that into the formula for the volume of a cube.
That formula is
Make sure to check your units,
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What is the volume of a cube with a side of length 1 cm?
What is the volume of a cube with a side of length 1 cm?
The formula for the volume of a cube with a side of length 
is:
The formula for the volume of a cube with a side of length
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A cube of sponge has volume 
. When water is added, the sponge triples in length along each dimension. What is the new volume of the cube, in cubic centimeters?
A cube of sponge has volume
If our original cube has a volume of 
, then the length of one of its edges is 
. Triple each edge to 
, then cube the result, and we obtain 
If our original cube has a volume of
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Find the volume of a cube with side length 10.
Find the volume of a cube with side length 10.
To find volume, simply cube the side length. Thus,
To find volume, simply cube the side length. Thus,
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Find the volume of a cube whose side length is 0.1.
Find the volume of a cube whose side length is 0.1.
To solve, simply use the formula for volume of a cube. The volume of a cube is length times width times height. Since the height, width, and length are equal on a cube the formula becomes side cubed.
We are given the side length of 0.1 thus,
To solve, simply use the formula for volume of a cube. The volume of a cube is length times width times height. Since the height, width, and length are equal on a cube the formula becomes side cubed.
We are given the side length of 0.1 thus,
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