Question

1. Harry is buying a new conservatory. He says, "The conservatory is a cube shape and the length measures 2m. How much space will his new conservatory take up?

2. The sum of a cubed number and a square number is 150. What are the 2 numbers?
3. Caroline's daughter has an age that is a cubed number. next year her age will be a squared number. How old is she?

Answer 1

1) 8 m^3

2) 125 + 25

3) 8

Explanation:

1) It's a cube shape => length = width = height = 2 m

Volume = length × width × height = 2 × 2 × 2 = 8 m^3

2) 5^2 + 5^3 = 150

25 + 125 = 150

3) Now she is 8 years old (8 = 2^3)

Next year she'll be 9 years old (9 = 3^2)