Pythagorean Theorem
Equations
Volume
Surface Area
Mixture
100
Use the Pythagorean theorem to find c.
a = 7
b = 9
11.4
100
Solve for x: 6x = 42
What is x = 7
100
What is the formula for volume of a cone?
V=1/3πr2h
100
What is the formula for surface area of a pyramid?
SA=1/2lp+B
100
What does B stand for in the pyramid formulas?
Area of the Base
200
Use the Pythagorean theorem to find c.
a = 13
b= 17
21.4
200
Solve for w: w - 11 = 4
W = 15
200
Find the volume area of the given cone. Round your answer to the nearest whole number.
5337 cubic units
200
Find the surface area of the given pyramid. Round your answer to the nearest whole number.
495 square units
200
Find the volume of the given pyramid. Round your answer to the nearest whole number.
15925 cubic units
300
Use the Pythagorean theorem to find the missing hypotenuse for the triangle whose legs are 5.2 and 12.4.
13.4
300
Solve for y: -252 = -14y
What is y = 18
300
Find the volume of the given cone. Round your answer to the nearest whole number.
113 cubic mi
300
Find the surface area of the given pyramid. Round your answer to the nearest whole number.
202 square inches
300
Find the volume of the given pyramid. Round your answer to the nearest whole number.
136 cubic in
400
Use the Pythagorean theorem to find the missing leg for the triangle with c=5 and b=4.
a = 3
400
Solve for n: −2(n + 5) = −2
n = -4
400
Find the volume of a cone with a radius of 12 in, a height of 10 in, and a slant height of 18 in.
1508 cubic in
400
Each side of the base of a square pyramid is 12 units. If the slant height is 23 units, what is its surface area?
696 square units
400
What does ℓ stand for in the surface area formulas?
Slant Height
500
Use the Pythagorean theorem to find the missing leg for the triangle with c=20 and b=29.
a = 21
500
-15 + 2m = -4m + 3
m = 3
500
What is the formula for volume of a pyramid?
V=1/3Bh
500
You have a square based pyramid. The base has a side length 4 cm. If the slant height is 6 cm, what is its surface area?
64 square cm
500
The perimeter of the base of a square pyramid is 64 units. If the height of the pyramid is 20 units, what is its volume? Round your answer to the nearest whole number.
1707 cubic units