Question

12 les dimensions dun aquarium sont de 45 cm de long sur 25 cm de large sur 35 cm de haut. si on remplit deau les \\(\frac{3}{4}\\) de laquarium, combien despace leau occupe-t-elle ?

Explanation:

Step1: Calculate the volume of the aquarium

The aquarium is a rectangular prism, and the volume \( V \) of a rectangular prism is given by the formula \( V = l \times w \times h \), where \( l \) is the length, \( w \) is the width, and \( h \) is the height.
Given \( l = 45\space cm \), \( w = 25\space cm \), and \( h = 35\space cm \).
So, \( V = 45\times25\times35 \)
First, calculate \( 45\times25 = 1125 \)
Then, \( 1125\times35 = 39375\space cm^3 \)

Step2: Calculate the volume of the water

The water occupies \( \frac{3}{4} \) of the aquarium's volume. So, the volume of water \( V_{water} = \frac{3}{4}\times V \)
We know \( V = 39375\space cm^3 \), so \( V_{water} = \frac{3}{4}\times39375 \)
\( \frac{3\times39375}{4}=\frac{118125}{4} = 29531.25\space cm^3 \)

Answer:

The water occupies \( 29531.25\space cm^3 \) of space.