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

Answer:

14 cm.

Step-by-step explanation:

We have been given that an aquarium is a right rectangular prism 18.5 cm long and 15 cm wide. We are also told that Martene put 3885 cubic cm of water in the aquarium.

To find the depth or height of aquarium, we will use volume of rectangular prism formula.

$\text{Volume of rectangular prism}=l*w*h$, where,

l = Length of prism,

w = Width of prism,

h = Height of prism.

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

$3885\text{ cm}^3=18.5\text{ cm}\times 15\text{ cm}\times h$

$3885\text{ cm}^3=277.5\text{ cm}^2\times h$

$\frac{3885\text{ cm}^3}{277.5\text{ cm}^2}=\frac{277.5\text{ cm}^2\times h}{277.5\text{ cm}^2}$

$14\text{ cm}=h$

Therefore, the aquarium is 14 cm deep.