How to find the length of an edge of a cube

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Math › How to find the length of an edge of a cube

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1

Find the length of an edge of the following cube:

Length_of_edge

The volume of the cube is .

CORRECT

0

0

0

0

Explanation

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:

2

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

CORRECT

30 ft

0

7.48 ft

0

100 ft

0

133 ft

0

Explanation

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

3

What is the length of an edge of a cube that has a surface area of 54?

CORRECT

0

0

0

Explanation

The surface area of a cube can be determined using the following equation:

4

Find the length of an edge of the following cube:

Length_of_edge

The volume of the cube is .

CORRECT

0

0

0

0

Explanation

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:

5

Given that the suface area of a cube is 72, find the length of one of its sides.

CORRECT

0

0

0

0

Explanation

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:

6

A cube has a volume of 64cm3. What is the area of one side of the cube?

16cm2

CORRECT

4cm

0

4cm2

0

16cm3

0

16cm

0

Explanation

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