Two similar solids a and b are shown

solid a has a volume of 60cm^3
a)find the volume of solid b

solid b has a total surface area of 140cm^2
b)find the total surface area of solid a

Given the two similar solids as shown in the diagram:

a. Volume of Solid B =

b. Surface Area of Solid A =

Given that the two solids, A and B, are similar, therefore, assuming they have a pair of corresponding dimension, given as, a and b respectively, thus:

Thus:

a. Volume of Solid A =

a = 3 cm

b = 6 cm

a. Area of Solid B =

a = 3 cm

b = 6 cm

a. Volume of Solid B =

b. Surface Area of Solid A =

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Step-by-step explanation:

Given 2 similar solids with ratio of sides = a : b , then

ratio of areas = a² : b²

ratio of volumes = a³ : b³

Here ratio of sides = 3 : 6 = 1 : 2 , thus

ratio of areas = 1² : 2² = 1 : 4

ratio of volumes = 1³ : 2³ = 1 : 8

(a)

The volume of solid B is 8 times volume of A, that is

volume of solid B = 8 × 60 = 480 cm³

(b)

The area of solid A is one- quarter the area of solid B, that is

surface area of solid A = 140 ÷ 4 = 35 cm²

x/7.50 = 15

x= 7.50 / 15 divide

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