Geometry Test #11

Question 1

Degrees into Radians

Answer 1

π/180

Question 2

Radians into Degrees

Answer 2

180/π

Question 3

Arc Sector Area

Answer 3

(x/360)πr^2

Question 4

Arc Sector Length

Answer 4

(x/360)2πr

Question 5

TA (prism)

Answer 5

LA+2B

Question 6

TA (pyramind)

Answer 6

LA+B

Question 7

LA (right prism)

Answer 7

ph

Question 8

V (right prism)

Answer 8

BH

Question 9

LA (pyramid)

Answer 9

(1/2)pℓ

Question 10

V (pyramid)

Answer 10

(1/3)Bh

Question 11

LA (cylinder)

Answer 11

2πrh

Question 12

V (cylinder)

Answer 12

hπr^2

Question 13

LA (cone)

Answer 13

πrℓ

Question 14

V (cone)

Answer 14

(1/3)πr^2h

Question 15

A (sphere)

Answer 15

4πr^2

Question 16

V (sphere)

Answer 16

(4/3)πr^3

Question 17

If the scale factor of two similar solids is a:b. then
(1) the ratio of corresponding perimeters is
(2) the ratio of the base areas, of the lateral areas, and of the total areas is
3) the ratio of the volumes is

Answer 17

1) a:b
2) a^2:b^2
3) a^3:b^3

Question 18

Cross sections

Answer 18

The 2-dimensional figure created when a plane intersects a solid (dependent on the angle at which the plane intersects the solid).

Question 19

Cavalier’s Principle

Answer 19

If 2 solids share the same height and the corresponding cross sections of the solids have equal area, then the solids have equal volume. (same height, same base (thus = cross sections) and thus equal).

Question 20

arc length=

Answer 20

radius(angle)

Question 21

TA (cylinder)

Answer 21

2(pi)(r)(h)+2(pi)(r^2)

Question 22

Mass=Weight

Answer 22

Density*Volume

Question 23

Density=

Answer 23

Mass/Volume

Question 24

Total population=

Answer 24

(Pop Density)(Area)

Question 25

Total Cost

Answer 25

(cost per unit area/volume)(area/volume)