1. Left-Handed Locomotive
Unit 3 – Geometric Applications of Exponents

2. Write the Pythagorean Theorem. ______ + ______ = ______
Question # 1
Write the Pythagorean Theorem. ______ + ______ = ______

3. Question #2
Find the length of the missing side.
3 in.
6 in.

4. (Use inverse operations)
Question # 3
Solve: 3 𝑥 3 = 24
(Use inverse operations)

5. Question #4
A candle maker uses a cylinder mold, which is 18 inches tall and has a radius of 1 inch. What is the volume of the candle mold? (Use 3.14 for 𝝅)

6. Question #5
What is the name of the longest side length in a right triangle opposite the right angle?

7. Question #6
Determine the volume of the cone. Round your answer to the nearest hundredth. (Use 3.14 for 𝝅)
12 cm

8. Question #7
The vertices of 3 squares are joined to form a right triangle. What is the area of the longest square?
25 cm2
18 cm2

9. Question #8
Suppose you have a triangle with side lengths 7, 24, and 25. Is it a right triangle?

10. Question #9
Determine the length of line segment AB. Round your answer to the nearest tenth of a unit.

11. Determine the volume of the sphere. (Use 3.14 for 𝝅)
Question #10
Determine the volume of the sphere. (Use 3.14 for 𝝅)
18 in.

12. Question #11
A rectangle has a diagonal 25 inches long and a width of 6 inches. What is the length of the rectangle?
(hint: draw a picture)

13. (hint: use inverse operations)
Question #12
Solve for y: 2 𝑦 3 = 16
(hint: use inverse operations)

14. (hint: use inverse operations)
Question #13
Solve for z: 3 𝒛 𝟐 = 108
(hint: use inverse operations)

15. Question #14
Find the volume of the sphere shown below.

16. Question #15
A party hat is in the shape of a cone with a radius of 3 in. and a height of 5 in. What is the volume of the party hat? (Use 3.14 for 𝝅)

17. Half Time Entertainment