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Example Questions
Example Question #1 : How To Find The Length Of An Edge Of A Cube
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?
33 ft
133 ft
30 ft
100 ft
7.48 ft
33 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
Example Question #2 : How To Find The Length Of An Edge Of A Cube
A cube has a volume of 64cm3. What is the area of one side of the cube?
16cm2
4cm
4cm2
16cm3
16cm
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
Example Question #1 : How To Find The Length Of An Edge Of A 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
Example Question #11 : Solid Geometry
A cube has a surface area of , what is the length of the side of the cube? (If necessary, round to the nearest hundredth.)
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
.
Example Question #2 : How To Find The Length Of An Edge Of A Cube
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?
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.
Example Question #1 : How To Find The Length Of An Edge Of A Cube
Given the volume of a cube is , find the side length.
To find side length, simply realize that volume is the side length cubed. Thus,
Example Question #2 : How To Find The Length Of An Edge Of A Cube
Find the length of the edge of a cube given the volume is .
To solve, simply take the cube root of the volume. Thus,
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