All High School Math Resources
Example Questions
Example Question #12 : Solid Geometry
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?
133 ft
7.48 ft
100 ft
30 ft
33 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 #1 : 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
16cm
16cm3
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 #3 : How To Find The Length Of An Edge Of A Cube
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:
Example Question #1 : Cubes
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:
Example Question #3 : How To Find The Length Of An Edge Of A Cube
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:
Example Question #2 : How To Find The Length Of An Edge Of A Cube
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: