Question

1. carmen goes to the citys aquarium and looks at the seahorses. look at the tank below. what is the volume of the seahorse tank? multiplication expression: v = ________ exponential expression: v = ______ the volume of the seahorse tank is ________.

Explanation:

Step1: Identify the shape and formula

The tank is a cube (since all sides seem equal, as one side is 6 ft). The volume \( V \) of a cube is given by the product of its length, width, and height. For a cube, length = width = height = \( s \), so the formula is \( V = s \times s \times s \). Here, \( s = 6 \) ft.

Step2: Multiplication expression

Substitute \( s = 6 \) into the multiplication formula: \( V = 6 \times 6 \times 6 \)

Step3: Exponential expression

The product \( 6 \times 6 \times 6 \) can be written as \( 6^3 \) (since exponentiation represents repeated multiplication, \( a^n \) means \( a \) multiplied by itself \( n \) times, here \( n = 3 \))

Step4: Calculate the volume

Compute \( 6 \times 6 \times 6 \). First, \( 6 \times 6 = 36 \), then \( 36 \times 6 = 216 \). So the volume is 216 cubic feet.

Answer:

Multiplication expression: \( V = 6 \times 6 \times 6 \)
Exponential expression: \( V = 6^3 \)
The volume of the seahorse tank is \( 216 \) cubic feet.