3) The closet is 4 feet wide, 6 feet long and 9 feet tall. In the closet, there is a box of old clothes that

Questions

December 2022 1 2 Report

3) The closet is 4 feet wide, 6 feet long and 9 feet tall. In the closet, there is a box of old clothes that is 3 feet wide, 4 feet long and 3 feet tall. How much room is left in the closet? 1. What is asked? 2. What are given?, 3. What is the operation to be used? 4. What is the number sentence? 5. Show your solution and complete answer.

Answers & Comments

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Fundamental Concept

To calculate for the volume of a rectangular box, the formula is length x width x height.

Application

How much room is left in the closet.
We are provided with the length, width, and height of the closet and the length, width, and height of the box of old clothes inside the closet.
The operations to be used are: multiplication to calculate for the volume, and subtraction to calculate how much room is left.
The number sentence is (4 x 6 x 9) - (3 x 4 x 3) = 180
To calculate how much room is left, we must subtract the room occupied by the box of clothes from the total room available inside the cabinet.

The total room available inside the cabinet is the cabinet's volume calculated as: 4 x 6 x 9 = 216 feet^3

The room occupied by the box is the volume of the box calculated as 3 x 4 x 3 = 36 feet^3

Room available = volume of cabinet - volume of box
Room available = 216 - 26 = 180 feet^3

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