Question

Martene got a small aquarium for her birthday. The aquarium is a right rectangular prism 18.5\,\text{cm}18.5cm18, point, 5, space, c, m long by 15\,\text{cm}15cm15, space, c, m wide. Martene put 3885\text{ cm}^33885 cm 3 3885, space, c, m, start superscript, 3, end superscript of water in the aquarium. How deep is the water in the aquarium?

Answer 1

Multiply the sides that you have, then divide that from 33885, and you'll get 14, 14 is the answer.

Answer 2

14 cm.

Explanation:

We have been given that Martene got an aquarium in the shape of rectangular prism with sides 18.5 cm long and 15 cm wide. Martene put
`3885\text{ cm}^3` of water in the aquarium. We are asked to find the depth of the water.

We will use volume of rectangular prism formula to solve our given problem.

`\text{Volume of rectangular prism}=l\cdot w\cdot h`, where,

l = Length of base,

w = Width of base,

h = Height of prism.

Upon substituting our given values in above formula, we will get:

`3885\text{ cm}^3=18.5\text{ cm}\cdot 15\text{ cm}\cdot h`

`3885\text{ cm}^3=277.5\text{ cm}^2\cdot h`

`\frac{3885\text{ cm}^3}{277.5\text{ cm}^2}=\frac{277.5\text{ cm}^2\cdot h}{277.5\text{ cm}^2}`

`\frac{3885\text{ cm}}{277.5}=h`

`14\text{ cm}=h`

Therefore, the depth of the water in the aquarium is 14 cm.