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?

Respuesta :

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

Answer:

14 cm.

Step-by-step 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 [tex]3885\text{ cm}^3[/tex] 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.

[tex]\text{Volume of rectangular prism}=l\cdot w\cdot h[/tex], where,

l = Length of base,

w = Width of base,

h = Height of prism.

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

[tex]3885\text{ cm}^3=18.5\text{ cm}\cdot 15\text{ cm}\cdot h[/tex]

[tex]3885\text{ cm}^3=277.5\text{ cm}^2\cdot h[/tex]

[tex]\frac{3885\text{ cm}^3}{277.5\text{ cm}^2}=\frac{277.5\text{ cm}^2\cdot h}{277.5\text{ cm}^2}[/tex]

[tex]\frac{3885\text{ cm}}{277.5}=h[/tex]

[tex]14\text{ cm}=h[/tex]

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