How to find the length of an edge of a cube - High School Math
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Our backyard pool holds 10,000 gallons. Its average depth is 4 feet deep and it is 10 feet long. If there are 7.48 gallons in a cubic foot, how wide is the pool?
Our backyard pool holds 10,000 gallons. Its average depth is 4 feet deep and it is 10 feet long. If there are 7.48 gallons in a cubic foot, how wide is the pool?
There are 7.48 gallons in cubic foot. Set up a ratio:
1 ft3 / 7.48 gallons = x cubic feet / 10,000 gallons
Pool Volume = 10,000 gallons = 10,000 gallons * (1 ft3/ 7.48 gallons) = 1336.9 ft3
Pool Volume = 4ft x 10 ft x WIDTH = 1336.9 cubic feet
Solve for WIDTH:
4 ft x 10 ft x WIDTH = 1336.9 cubic feet
WIDTH = 1336.9 / (4 x 10) = 33.4 ft
There are 7.48 gallons in cubic foot. Set up a ratio:
1 ft3 / 7.48 gallons = x cubic feet / 10,000 gallons
Pool Volume = 10,000 gallons = 10,000 gallons * (1 ft3/ 7.48 gallons) = 1336.9 ft3
Pool Volume = 4ft x 10 ft x WIDTH = 1336.9 cubic feet
Solve for WIDTH:
4 ft x 10 ft x WIDTH = 1336.9 cubic feet
WIDTH = 1336.9 / (4 x 10) = 33.4 ft
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A cube has a volume of 64cm3. What is the area of one side of the cube?
A cube has a volume of 64cm3. What is the area of one side of the cube?
The cube has a volume of 64cm3, making the length of one edge 4cm (4 * 4 * 4 = 64).
So the area of one side is 4 * 4 = 16cm2
The cube has a volume of 64cm3, making the length of one edge 4cm (4 * 4 * 4 = 64).
So the area of one side is 4 * 4 = 16cm2
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Given that the suface area of a cube is 72, find the length of one of its sides.
Given that the suface area of a cube is 72, find the length of one of its sides.
The standard equation for surface area is
where 
denotes side length. Rearrange the equation in terms of 
to find the length of a side with the given surface area:
The standard equation for surface area is
where
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Find the length of an edge of the following cube:
The volume of the cube is 
.
Find the length of an edge of the following cube:
The volume of the cube is
The formula for the volume of a cube is
,
where 
is the length of the edge of a cube.
Plugging in our values, we get:
The formula for the volume of a cube is
where
Plugging in our values, we get:
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Find the length of an edge of the following cube:
The volume of the cube is 
.
Find the length of an edge of the following cube:
The volume of the cube is
The formula for the volume of a cube is
,
where is the length of the edge of a cube.
Plugging in our values, we get:
The formula for the volume of a cube is
where
Plugging in our values, we get:
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What is the length of an edge of a cube that has a surface area of 54?
What is the length of an edge of a cube that has a surface area of 54?
The surface area of a cube can be determined using the following equation:
The surface area of a cube can be determined using the following equation:
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