Volume
A rectangular prism has dimensions of 5, 4, and 3 units. What is its total volume?
60
Calculate the circumference of a circle with a diameter of 20 units. (Exact value).
20π
Find the value of in the proportion: x/4=9/12
x=3
A right triangle has legs measuring 3 and 4 units. Find the hypotenuse.
5
What is the mnemonic definition for the Sine ratio? (State in sides).
Opp/Hyp
Find the volume of a cylinder with a radius of 3 units and a height of 10 units. Leave in terms of .
90π
Find the area of a circle with a radius of 5 units. Leave in terms of .
25π
On a 1:100 scale map, a road is 5cm long. What is the real-world distance in cm?
500cm
In a right triangle, one leg is 5 and the hypotenuse is 13. Find the missing leg.
12
Find if Angle = 30°, Hypotenuse = 20, and is the opposite side.
10
Calculate the exact volume of a sphere that has a radius of 3 units.
36π
In a circle with radius 4, what is the length of a 90-degree arc?
2π
Determine the geometric mean of the values 4 and 9.
6
Find the length of the diagonal of a square with a side length of 10 units.
10√2
In a 45-degree angle, if the adjacent side is 5, what is the opposite side?
5
A square pyramid has a base area of 36 square units and a height of 6 units. What is the volume?
72
Identify the center coordinates for the circle defined by: (x-2)^2+(y+3)^2+16
(2, -3)
Two figures have a similarity ratio of 2:3. What is the ratio of their areas?
4:9
Do the side lengths 7, 24, and 25 form a right triangle?
Yes
If the angle of elevation is 45° and the horizontal distance is 50ft, what is the height?
50ft