Question

The volume of a cube is 729 cm3. What is the length of one side of the cube? Write and solve an equation to justify answer. Put answers in proper form.


A square shaped park has an area of 400 ft2. What is the length of one side of the park ? Write and solve an equation to justify answer. Put answer in proper form.

Answer 1

the volume of cube =a^3
729=a^3
a=9cm

part II
area = a^2
400=a^2
a=20cm

Answer 2

Answer:

(i) side = 9 cm

(ii) side =  20 ft

Step-by-step explanation:

(i) we know that : volume of a cube = a₁×a₁×a₁ or a₁³ where a₁ is the side of the cube

here we have

=> a₁³ = 729

=> a₁ = ∛729

∴ a₁ = 9 cm

(ii) we know that : area of a square = a₂ × a₂ or a₂² where a is the side of the square

here we have  

=> a₂² = 400

=> a₂ = √400

=> a₂ = 20 ft