How to find the length of an edge of a cube - ACT 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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A cube as the volume of 
.
Find the length of a side of this cube.
A cube as the volume of
Find the length of a side of this cube.
The formula to find the volume of the cube is
Since we know the volume, we can set up the equation
The formula to find the volume of the cube is
Since we know the volume, we can set up the equation
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A cube has a surface area of 
, what is the length of the side of the cube? (If necessary, round to the nearest hundredth.)
A cube has a surface area of
To find the length of the side of a square given the surface area, use the surface area formula and solve for 
:
, now divide both sides by 6
, now square root both sides
.
To find the length of the side of a square given the surface area, use the surface area formula and solve for
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A certain cubic box when unfolded and laid flat on a table covers exactly 
square units of space. What is the width of the box, in units?
A certain cubic box when unfolded and laid flat on a table covers exactly
To find the length of the edge of a cube from its surface area, remember that 
, where 
is the length of a side.
So, the box is 
units long.
To find the length of the edge of a cube from its surface area, remember that
So, the box is
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Given the volume of a cube is 
, find the side length.
Given the volume of a cube is
To find side length, simply realize that volume is the side length cubed. Thus,
To find side length, simply realize that volume is the side length cubed. Thus,
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Find the length of the edge of a cube given the volume is 
.
Find the length of the edge of a cube given the volume is
To solve, simply take the cube root of the volume. Thus,
To solve, simply take the cube root of the volume. Thus,
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