Two architectural models are pyramids with bases of equal area. the smaller model has a height of 10 centimeters, and the larger model has a height of 30 centimeters. how many times greater than the smaller model is the larger model’s volume?

The larger model’s volume is 3 times greater than the volume of the smaller model

Step-by-step explanation:

we know that

The volume of a pyramid is equal to

where

B is the area of the base of pyramid

h is the height of the pyramid

Find the volume of the smaller model

we have

substitute

Find the volume of the larger model

we have

substitute

To find how many times greater than the smaller model is the larger model’s volume, divide the volume of the larger model by the volume of the smaller model

so

The larger model’s volume is 3 times greater than the volume of the smaller model

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).

yes

step-by-step explanation: