Question

How many smaller cubes are formed from a larger cube? Statements: i. The side of larger cube is 15 cm. Ii. The surface area of the smaller cube is 150 cm

Answer 1

Answer:

27 smaller cubes

Step-by-step explanation:

Find the volume of the larger cube:

Volume = Length³

Volume = 15³

Volume = 3375 cm³

Find the length of 1 side of the smaller cube:

Surface area = 150 cm²

Area of 1 face = 150 ÷ 6 = 25

Area = Length²

Length² = 25

Length = √25 = 5 cm

Find the volume of the smaller cube:

Volume = Length³

Volume = 5³ = 125 cm³

Find the number of smaller cubes:

1 cube = 125 cm³

Number of cubes = 3375 ÷ 125 = 27 cubes

Answer: 27 smaller cubes can be formed.