Emily convinced her mom to buy a giant box of her favorite cereal. Her mom doesn't think the box will fit on their shelf. The volume of the box is 10,000cm^3 cubed. The base of the box is 25 cm by 10 cm.

Complete question:

Emily convinced her mom to buy a giant box of her favorite cereal. Her mom doesn't think the box will fit on their shelf. The volume of the box is 10,000 cm^3 cubed. The base of the box is 25cm by 10cm.

How tall is the box of cereal?

Answer: 40cm

Step-by-step explanation:

Given that:

A box is normally in the shape of a cube

formula of volume of a cube;

We want to find the height (tallness)

Volume=LengthxWidthxHeight

Volume = 10,000cm^3

Base of box = 25cm by 10cm,

Base of box = Length * width

Therefore:

Length = 25cm, Width = 10cm

Volume = Lengh * Width * Height

10,000cm^3 = 25cm * 10cm * Height

10,000cm^3 = 250cm^2 * Height

Height = 10,000cm^3 : 250cm^2

Height = 40cm