An aquarium has a volume of 432 in.3

Question

and a base of 96 in.2
. How would you write an equation to model finding the height of the aquarium?(1 point)
Responses

h=96432
h equals Start Fraction 96 over 432 End Fraction

h=96(432)
h equals 96 left parenthesis 432 right parenthesis

96=432h
96 equals 432 h

432=96h

Answer 1

To find the height of the aquarium, you can use the relationship between volume, base area, and height. The formula for the volume \( V \) of a rectangular aquarium is:

\[ V = \text{Base Area} \times \text{Height} \]

Given:

• Volume \( V = 432 , \text{in}^3 \)
• Base Area = \( 96 , \text{in}^2 \)

You can set up the equation as follows:

\[ 432 = 96h \]

To isolate \( h \), you can rearrange it:

\[ h = \frac{432}{96} \]

Among the provided responses, the equation that models finding the height of the aquarium is:

432 = 96h