Question

The ratio of the heights of two similar rectangular prisms is 2:3. What is the ratio of their lateral areas?

8:27

2:5

4:9

1:0.33

Answer 1

its 4:9

Answer 2

A rectangular prism is truncated removing 10% of its height. The original height of the prism was 100 meters and it has a length of 4 meters and a width of 20 meters. What is the volume of the truncated prism?

800 m3

4,200 m3

3,800 m3

7,200 m3

Answer 3

vol = l*w*h
vol = 4*20*100
vol = 8000 m^3

Answer 4

as we are reducing 10% of its height so h= 90
so vol = 7,200m^3

Answer 5

answer is 7200m^3

Answer 6

hope you got it :)

Answer 7

What is the similarity ratio of two cubes with volumes of 125 cubic meters and 216 cubic meters?

125:216

25:36

1:3

5:6

Answer 8

answer is 5:6

Answer 9

last one :)
Part 1: Create and provide the dimensions for two similar figures of your choosing.
Part 2: What is the similarity ratio of these figures along with the ratio of their surface area and volume?
Part 3: Show your work, either using the actual volumes or using the formula, that the volume ratio is true.

Answer 10

need time for this one

Answer 11

alright:)

Answer 12

first part:
let,
fig 1 fig2
L=2 cm L=4cm
W=4 cm W=8cm
H=5 cm H=10cm

part 2:
The first fig is half the size of the second fig
so their similarity ratio would be 1:2
Surface Area of a Rectangular Prism = 2lh + 2hw + 2lw
fig1 surface area = 75cm^2
fig2 surface area = 304cm^2

Answer 13

omg ur a life savior right now

Answer 14

i m kinda tired right now lol can you solve the third part ???

Answer 15

yess

Answer 16

ok you just have to find the ratios of their area and volume

Answer 17

Maybe you'd like a reason for the first answer..
http://www.andrews.edu/~calkins/math/webtexts/geom10.htm
Lateral Area of a prism: perimeter × height

Since the perimeter is a linear function of length + width, the perimeter is scaled by r, and the height is scaled by r as well, so there will be a factor of r^2 in the final answer. What is
\[(\frac{2}{3})^2\]