Question

a and b are two similar solids. a has a height of 10cm and b has a height of 15cm. the volume of a is 400cm cubed. work out the volume of b.

Answer 1

Question :- A and B are two similar solids . A has a height of 10 cm and B has a height of 15 cm . the volume of A is 400cm³. work out the volume of B. ?

Concept used :-

• If two solids are similar, the ratio of their volumes is equal to the cube of the ratio of their corresponding sides.

Solution :-

we have given that,

• Height of A = 10 cm.
• Volume of A = 400cm³.
• Height of B = 15 cm.
• Both A and B solids are similar .

from above told concept we get,

→ V(A) / V(B) = (Height of A)³ / (Height of B)³

Putting all given values we get,

→ 400/ V(B) = (10)³/(15)³

→ 400/V(B) = (1000/3375)

→ V(B) = (400 * 3375) / 1000

→ V(B) = (4 * 3375) / 10

→ V(B) = 1350 cm³. (Ans.)

Hence, Volume of B will be 1350 cm³.