Question

a factory makes aquariums. each aquarium is in the shape of a triangular prism, as shown below. if the factory makes 100 such aquariums, how much water will be needed to fill all of them (in cubic feet)?

Explanation:

Step1: Find base triangle area

The base is a right triangle, area = $\frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 4 \times 2$
$\frac{1}{2} \times 4 \times 2 = 4$ square feet

Step2: Find volume of 1 aquarium

Volume of prism = base area $\times$ length
$4 \times 5 = 20$ cubic feet

Step3: Find total volume for 100 aquariums

Total volume = 1 aquarium volume $\times 100$
$20 \times 100 = 2000$ cubic feet

Answer:

2000