Question

Whitney is making a strawberry cake for her brother’s birthday. The cake pan is a right rectangular prism

20
cm
20 cm20, start text, space, c, m, end text wide by
28
cm
28 cm28, start text, space, c, m, end text long. Whitney puts
1848
cm
3
1848 cm
3
1848, start text, space, c, m, end text, cubed of batter into the pan.
How deep is the cake batter?

Answer 1

around 3.3 cm

Explanation:

The volume of the rectangular prism cake pan can be calculated by multiplying its length, width, and depth:

V = l × w × d

Substituting the given values, we get:

V = 20 cm × 28 cm × d

V = 560d cm³

We are also given that the amount of batter put into the pan is 1848 cm³. So we can set up the following equation:

1848 cm³ = 560d cm³

Solving for d, we get:

d = 1848 cm³ ÷ 560 cm²

d ≈ 3.3 cm

Therefore, the cake batter is about 3.3 cm deep.