Question

The new dolphin tank at the city aquarium is a rectangular prism of dimensions 23yd x 15yd x 4yd. If the workers treat the water using bags of salt, which measurement is relevant to determine the treatment capacity in cubic feet?

a) Length
b) Width
c) Depth
d) Volume

Answer 1

The relevant measurement for determining the treatment capacity for the dolphin tank is the volume, which is calculated to be 37380 cubic feet after converting the tank's dimensions from yards to feet and multiplying them.

Step-by-step explanation:

To determine the capacity for treating the water in a rectangular prism tank with the dimensions of 23yd x 15yd x 4yd, you need to calculate the tank's volume. Since water treatment capacity is dependent on the volume of water to be treated, only the overall volume will give us the necessary information to know how much salt is needed for the treatment process. The volume is found by multiplying length, width, and depth. However, since the measurement for treatment will likely be needed in cubic feet, you must first convert the tank's dimensions from yards to feet (1 yard = 3 feet).

Converting the dimensions:

• Length: 23 yards x 3 = 69 feet
• Width: 15 yards x 3 = 45 feet
• Depth: 4 yards x 3 = 12 feet

Calculating the volume:

V = length × width × depth

V = 69 feet × 45 feet × 12 feet

V = 37380 cubic feet

Therefore, the dolphin tank's volume is 37380 cubic feet, and this is the relevant measurement for determining the treatment capacity.