The ratio of the heights of two similar rectangular prisms is 2:3. What is the ratio of their lateral areas?
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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?
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as we are reducing 10% of its height so h= 90
so vol = 7,200m^3
answer is 7200m^3
hope you got it :)
What is the similarity ratio of two cubes with volumes of 125 cubic meters and 216 cubic meters?
answer is 5:6
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.
need time for this one
fig 1 fig2
L=2 cm L=4cm
W=4 cm W=8cm
H=5 cm H=10cm
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
omg ur a life savior right now
i m kinda tired right now lol can you solve the third part ???
ok you just have to find the ratios of their area and volume
Maybe you'd like a reason for the first answer..
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