Volumes
Find the volume of a rectangular prism: length 5, width 3, height 2.
30 units³
What is a linear pair of angles?
Two adjacent angles that form a straight line (sum to 180°)
What is the formula for the Pythagorean Theorem?
a² + b² = c²
Interior angle sum of a triangle?
180 degrees
What’s the standard form of a circle?
(x – h)2 + (y – k)2 = r2
Find the volume of a cylinder with radius 3 and height 4. Express your answer in terms of π.
36π units³
∠A and ∠B form a linear pair. If ∠A = 120°, what is ∠B?
60 degrees
Legs are 6 and 8. Find the hypotenuse.
10
Interior angle sum of a pentagon?
540 degrees
Center of (x+1)2+(y–4)2=36?
(-1, 4)
A square pyramid has base length 6 and height 5. Find the volume.
60 units³
∠1 and ∠2 are vertical angles. If ∠1 = 5x – 10 and ∠2 = 3x + 26, find x.
x = 9
Leg = 9, hypotenuse = 15. Find the other leg.
12
A regular hexagon has how many degrees in each interior angle?
120 degrees
Radius of (x–2)2+(y+5)2=49?
7
A sphere has a radius of 2. Find its volume in terms of π.
32π/3 units³
Lines m and n are parallel. A transversal cuts them, forming ∠3 = 6x + 10 and ∠4 = 8x – 12. ∠3 and ∠4 are corresponding. Find x.
x = 11
A diagonal of a square is 13. What is the side length of the square?
√(169/2)
A polygon has an angle sum of 900°. How many sides?
7 degrees
Write the equation of a circle with center (3, –2) and radius 4.
(x–3)2+(y+2)2=16
A cylinder and a cone have the same base radius of 4 and height of 6. How much more volume does the cylinder have than the cone?
64π units³
∠A and ∠B are supplementary. ∠A = 2x + 10, ∠B = 4x – 4. Find both angle measures.
m∠A = 68°, m∠B = 112°
Distance between (2, –3) and (–4, 5)?
10
A regular polygon has an interior angle of 150°. How many sides does it have?
12
Write the equation of a circle with center (99, –5) and radius 24.
(x–99)2+(y+5)2=576