Question

The height of a fish tank is 1.1 feet, and the area of the tank's base is 12 square feet. To find the volume of the tank, multiply the height by the area of the base. What is the volume of the fish tank?

A) Write a multiplication expression with the numbers given to represent the tank's volume.
B) Since one factor is a fraction and the other is a decimal, rewrite one of the factors in an equivalent form. Choose a factor to rewrite and explain your choice.
C) Write a new multiplication expression using your equivalent factor from Item 2 to represent the tank's volume.
D) What is the volume of the fish tank?

Answer 1

The volume of the fish tank can be calculated by multiplying the tank's height (1.1 feet) by the base area (12 square feet), resulting in a volume of 13.2 cubic feet.

Step-by-step explanation:

To calculate the volume of the fish tank, you need to multiply the height of the tank by the area of the tank's base.A) Multiplication Expression

The multiplication expression to represent the tank's volume is 1.1 feet × 12 square feet.

B) Equivalent Factor

Since one factor is a fraction and the other is a decimal, it's often easier to have both factors in the same form. The height, 1.1 feet, can be rewritten as 11/10 feet. It's easier to handle fractions in calculations with other whole numbers or fractions.

C) New Multiplication Expression

The new multiplication expression using the equivalent factor is 11/10 feet × 12 square feet.

D) Volume of the Fish Tank

To find the volume, multiply the two factors: (11/10) × 12 = 132/10 = 13.2 cubic feet. Therefore, the volume of the fish tank is 13.2 cubic feet.