Mathematics: p and q are two geometrically similar solid shapesthe total surface area of shape p is 720cm^2.the total surface area of shape q is 2880cm^2the volume of shape p is 3200cm^3calculate the volume of shape q.

p and q are two geometrically similar solid shapesthe

Ответ:

Geo777

05.01.2022

Mathematics

The volume of shape Q is $25,600\ cm^{3}$

Step-by-step explanation:

step 1

Find the scale factor

we know that

If two figures are similar, then the ratio of its surface areas is equal to the scale factor squared

Let

z----> the scale factor

x----> surface area of shape Q

y----> surface area of shape P

$z^{2}=\frac{x}{y}$

we have

$x=2,880\ cm^{2}$

$y=720\ cm^{2}$

substitute

$z^{2}=\frac{2,880}{720}$

z=2

step 2

Find the volume of shape Q

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z----> the scale factor

x----> volume of shape Q

y----> volume of shape P

$z^{3}=\frac{x}{y}$

we have

z=2

$y=3,200\ cm^{3}$

substitute

$2^{3}=\frac{x}{3,200}$

$x=(8)(3,200)=25,600\ cm^{3}$

0,0(0 оценок)

Ответ:

isaiahdunn

20.11.2021

Mathematics

m<F=50

Step-by-step explanation:

complementary angles mean that together they equal 90, we need to set up an equation to find x, and then put x into angle F to find its measurement :)

m<C+m<F=90

(2x+10)+(x+35)=90

calculate to find x!

x=15

now we put 15 into (x+35)

15+35=50

hope this helps!! :D

0,0(0 оценок)

p and q are two geometrically similar solid shapes

the total surface area of shape p is 720cm^2.

the total surface area of shape q is 2880cm^2

the volume of shape p is 3200cm^3

calculate the volume of shape q.

Ответ:

Ответ:

Ask your question to the AI advisor

More tips

Answers on questions: Mathematics

Ask an AI advisor a question