Formulas (8)

Question 1

Rectangle perimeter formula: P = 2(l + w). Explain the variables.

Answer 1

l = length, w = width, P = perimeter

Question 2

Rectangle area formula: A = l × w. Explain the variables.

Answer 2

l = length, w = width, A = area

Question 3

Triangle area formula: A = 1/2 × b × h. Explain the variables.

Answer 3

b = base, h = height, A = area

Question 4

Parallelogram area formula: A = b × h. Explain the variables.

Answer 4

b = base, h = height, A = area

Question 5

Trapezoid area formula: A = 1/2 × (b1 + b2) × h. Explain the variables.

Answer 5

b1 = first base, b2 = second base, h = height, A = area

Question 6

Rectangular prism volume formula: V = l × w × h. Explain the variables.

Answer 6

l = length, w = width, h = height, V = volume

Question 7

Rectangular prism surface area: SA = 2(lw + lh + wh). Explain the variables.

Answer 7

l = length, w = width, h = height, SA = surface area

Question 8

Cylinder volume: V = π r² h. Explain the variables.

Answer 8

r = radius, h = height, V = volume, π = 3.14159…

Question 9

Cylinder surface area: SA = 2π r² + 2π r h. Explain the variables.

Answer 9

r = radius, h = height, SA = surface area

Question 10

Square-based pyramid volume: V = 1/3 × s² × h. Explain the variables.

Answer 10

s = base side length, h = height, V = volume

Question 11

Square-based pyramid surface area: SA = s² + 2 × s × l_s. Explain the variables.

Answer 11

s = base side length, l_s = slant height, SA = surface area

Question 12

Cone volume: V = 1/3 × π r² h. Explain the variables.

Answer 12

r = radius, h = height, V = volume

Question 13

Cone surface area: SA = π r² + π r l. Explain the variables.

Answer 13

r = radius, l = slant height, SA = surface area

Question 14

Sphere volume: V = 4/3 × π r³. Explain the variables.

Answer 14

r = radius, V = volume

Question 15

Sphere surface area: SA = 4 × π × r². Explain the variables.

Answer 15

r = radius, SA = surface area

Question 16

Pythagorean theorem: a² + b² = c². Explain the variables.

Answer 16

a, b = legs of the right triangle, c = hypotenuse

Question 17

Distributive property: a(b + c) = ab + ac. Explain the variables.

Answer 17

a, b, c are numbers or expressions

Question 18

Solve one-step equations: x + a = b → x = ?

Answer 18

x = b - a; x = unknown, a and b = given numbers

Question 19

Solve one-step equations: ax = b → x = ?

Answer 19

x = b/a; x = unknown, a and b = given numbers

Question 20

Mean formula: mean = (sum of values) / (number of values). Explain the variables.

Answer 20

sum of values = total of all data points, number of values = count of data points, mean = average

Question 21

Range formula: range = maximum - minimum. Explain the variables.

Answer 21

maximum = largest value, minimum = smallest value, range = difference

Question 22

Probability formula: P(event) = favorable outcomes / total outcomes. Explain the variables.

Answer 22

favorable outcomes = number of outcomes we want, total outcomes = all possible outcomes, P(event) = probability