Envision Topic 1 Review

Front

What is the formula for calculating the volume of a cube?

Back

The volume of a cube is calculated using the formula V = s³, where V is the volume and s is the length of a side.

Front

If the volume of a cube is 216 mm³, what is the side length?

Back

The side length is 6 mm.

Front

How do you convert a repeating decimal into a fraction?

Back

To convert a repeating decimal into a fraction, let x equal the decimal, multiply by a power of 10 to shift the decimal point, and then solve for x.

Front

What is the fraction representation of the repeating decimal 0.8888888888...?

Back

The fraction representation is 8/9.

Front

If the volume of a cube is 343 cm³, what is the side length?

Back

The side length is 7 cm.

Front

What is the simplified form of (x^5)^4?

Back

The simplified form is x^20.

Front

What is the principle of exponents that allows you to simplify (a^m)^n?

Back

The principle states that (a^m)^n = a^(m*n).

Front

What is the value of 3^2 + 4^2?

Back

The value is 25.

Front

What is the formula for the area of a square?

Back

The area of a square is calculated using the formula A = s², where A is the area and s is the length of a side.

Front

How do you find the side length of a cube if you know the volume?

Back

To find the side length, take the cube root of the volume: s = V^(1/3).