What is the volume of a room that is 10 feet long, 14 feet wide, and 20 feet high?

What is the volume of a room that is 10 feet long, 14 feet wide, and 20 feet high?

• A. 44 cubic feet
• B. 160 cubic feet
• C. 2800 cubic feet
• D. 5,600 cubic feet

Answer: (C)

To determine the volume of a room, you need to multiply its length, width, and height. In this case, the room dimensions are 10 feet long, 14 feet wide, and 20 feet high. Using the formula for volume (Volume = Length × Width × Height): - Multiply the length (10 feet) by the width (14 feet): 10 × 14 = 140 square feet (this is the area of the floor). - Next, multiply this area by the height (20 feet): 140 square feet × 20 feet = 2800 cubic feet. This calculation shows that the total volume of the room is indeed 2800 cubic feet, confirming why this option is the correct choice. The other options represent different calculations or misunderstanding of the volume formula. For instance, volumes such as 44 cubic feet and 160 cubic feet are significantly smaller and do not encompass the dimensions provided. The 5,600 cubic feet calculation appears to misinterpret how to apply the multiplication to the dimensions given. Understanding the proper method of calculating volume is essential in various fields, especially in refrigeration, where space utilization is crucial.

To determine the volume of a room, you need to multiply its length, width, and height. In this case, the room dimensions are 10 feet long, 14 feet wide, and 20 feet high.

Using the formula for volume (Volume = Length × Width × Height):

• Multiply the length (10 feet) by the width (14 feet):

10 × 14 = 140 square feet (this is the area of the floor).

• Next, multiply this area by the height (20 feet):

140 square feet × 20 feet = 2800 cubic feet.

This calculation shows that the total volume of the room is indeed 2800 cubic feet, confirming why this option is the correct choice.

The other options represent different calculations or misunderstanding of the volume formula. For instance, volumes such as 44 cubic feet and 160 cubic feet are significantly smaller and do not encompass the dimensions provided. The 5,600 cubic feet calculation appears to misinterpret how to apply the multiplication to the dimensions given. Understanding the proper method of calculating volume is essential in various fields, especially in refrigeration, where space utilization is crucial.