Question

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.

Answer 1

Step-by-step explanation:

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

z²=x/y

we have,

x = 2880 cm²

y= 720 cm²

put the value

z² = 2880/720

=>4

z² = 4

z = √4

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

z³ = x/y

we have,

z= 2

y = 3200 cm³

put the value,

2³ = x/3200

x = 8×3200

x = 25,600 cm³

Answer 2

Answer:

its is 25600cm^3

Step-by-step explanation: