Unit 13 - Volume

Question 1

Volume of Rectangular Prism

Answer 1

lwh

Question 2

Volume of Triangular Prism

Answer 2

V = (0.5bh) h
V = (√s (s - a) (s - b) (s - c) h
V = (s/2)² √3h
V = (1/2) ab ⋅ sinc x h

One of the h is the h of the triangular base & other is h of the prism

Question 3

Volume of a Circular Cylinder

Answer 3

V = πr²h

Question 4

Volume of Cube

Answer 4

(s²) h
(s³)

Question 5

How do you find the volume of an irregular shape?

Answer 5

Average of the Area of Under & Area of Over

Question 6

Volume of Cone

Answer 6

1/3Bh
(B = Area of Triangle)

Question 7

SA of Sphere

Answer 7

4πr²

Question 8

Volume of Sphere

Answer 8

4/3πr³

Question 9

Formula for Circumference

Answer 9

πd or 2πr

Question 10

What is the Great Circle? (2)

Answer 10

1. Cross Section at the Poles
2. Diameter/Radius of GC = Diameter/Radius of Sphere

Question 11

What is another way to think of height of a 3D object?

Answer 11

Distance between two parallel bases

Question 12

How do you find the volume of similar figures?

Answer 12

S³/S³ = V/V

Question 13

How do you find the SA of similar figures?

Answer 13

S²/S² = SA/SA

Question 14

What is the formula for density?

Answer 14

m/v

Question 15

What is the formula for population density?

Answer 15

Number of Things/Area (Amount of Space)

Question 16

How do you convert in the metric system?

Answer 16

KHDUDCM
King Henry Doesn’t Usually Drink Chocolate Milk

Question 17

How do you use dimensional analysis?

Answer 17

Convert 60 km/hr to meters/min
1. First write original proportion (60km/hr)
2. Then multiply it by a unit proportion so one of the units is opposite
(60 km/hr x 1 hour/60 min x 1000 m/1 km)
3. Cross out opposite units
(60 km/1 hr x 1 hour/60 minutes x 1000 m/1 km**)
4. Cross out opposite same numbers/simplify
5. Multiply across
(1000m/minutes)