Left-Handed Locomotive
Unit 3 – Geometric Applications of
Exponents
Question # 1
Write the Pythagorean Theorem.
______ + ______ = ______
Question #2
Find the length of the missing side.
3 in.
6 in.
Question # 3
3
Solve: 3𝑥 = 24
(Use inverse operations)
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)
Question #5
What is the name of the
longest side length in a right
triangle opposite the right
angle?
Question #6
Determine the volume of the cone. Round your
answer to the nearest hundredth.
(Use 3.14 for 𝝅)
12 cm
12 cm
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
Question #8
Suppose you have a
triangle with side
lengths 7, 24, and 25. Is
it a right triangle?
Question #9
Determine the length of line segment AB. Round
your answer to the nearest tenth of a unit.
Question #10
Determine the volume of the sphere.
(Use 3.14 for 𝝅)
18 in.
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)
Question #12
3
Solve for y: 2𝑦 = 16
(hint: use inverse operations)
Question #13
𝟐
Solve for z: 3𝒛 = 108
(hint: use inverse operations)
Question #14
Find the volume of the sphere shown below.
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)
Half Time Entertainment
https://www.youtube.com/watch?v=qAFg2TQk9
v0