Volume and Unit Conversion Problems

Mr. Matt Blog explains how to solve volume equations for rectangular prisms, focusing on finding missing dimensions. He provides examples involving an ant farm and aquariums, demonstrating how to use the volume formula and convert units when necessary. The video emphasizes understanding the context of problems and the importance of unit conversion in real-life applications.

What is the formula for calculating the volume of a rectangular prism?

• Length × Width

• Length + Width + Height

• Width × Height

• Length × Width × Height

If the volume of a rectangular prism is 375 cubic inches, the length is 15 inches, and the width is 2.5 inches, what is the height?

• 20 inches

• 15 inches

• 10 inches

• 5 inches

How do you find the height of a rectangular prism with fractional dimensions?

• Multiply the fractions and divide the volume by the product

• Subtract the fractions

• Add the fractions

• Divide the fractions

What is the importance of unit conversion in solving volume problems?

• It is not important

• It ensures all measurements are in the same unit

• It simplifies the problem

• It makes the problem more complex

What is the reciprocal of 3/8?

• 1/8

• 8/3

• 3/8

• 1/3

What is the first step in converting gallons to cubic feet?

• Multiply by 7.5

• Divide by 7.5

• Add 7.5

• Subtract 7.5

If an aquarium holds 30 gallons of water, what is its volume in cubic feet?

• 5 cubic feet

• 3 cubic feet

• 4 cubic feet

• 2 cubic feet

What is the length of an aquarium if its volume is 4 cubic feet, width is 0.8 feet, and height is 2 feet?

• 2.0 feet

• 2.5 feet

• 1.5 feet

• 3.0 feet

How many cubic feet is 33.75 gallons of water?

• 4.0 cubic feet

• 5.0 cubic feet

• 4.5 cubic feet

• 5.5 cubic feet

If an aquarium has a length of 2 feet, a height of 1.5 feet, and a volume of 4.5 cubic feet, what is its width?

• 2.5 feet

• 2.0 feet

• 1.0 feet

• 1.5 feet