Two similar solids a and b are shownsolid 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: (ratio of their volume to their corresponding sides) (ratio of their surface area to their corresponding sides) Thus: a. Volume of Solid A = a = 3 cm b = 6 cm Substitute a. Area of Solid B = a = 3 cm b = 6 cm Substitute Therefore, given the two similar solids as shown in the diagram: a. Volume of Solid B = b. Surface Area of Solid A = Learn more here: brainly.com/question/12665986

Answer: see explanation 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