This video tutorial by Jeff Jacobson explains how to find the volume of rectangular prisms. It begins with an introduction to the concept of volume, its definition, and real-world examples. The tutorial then covers the formulas used to calculate the volume of prisms, including rectangular and other types. Two examples are provided: one for calculating the volume of a rectangular prism and another for finding the height of a prism when the volume is known. The video concludes with practice problems for viewers to try on their own.

What does the volume of a solid measure?

• The weight of the solid

• The length of its edges

• The amount of space it occupies

• The surface area of all its faces

Which units are used to express volume?

• Linear units

• Square units

• Cubic units

• Kilograms

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Why are cubic units used to express volume?

• Because cubic units are easier to calculate

• Because volume measures the space inside a three-dimensional object

• Because volume is a two-dimensional measurement

• Because volume measures weight

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What practical example was given for measuring volume in cooking?

• Measuring the volume of milk with a measuring cup

• Counting the number of eggs

• Measuring the length of spaghetti

• Measuring the weight of flour

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What is the formula to calculate the volume of a rectangular prism?

• Volume = Length x Width x Height

• Volume = Length/Width x Height

• Volume = (Length x Width)/Height

• Volume = Length + Width + Height

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How can the volume formula be adapted for different types of prisms?

• By changing the formula entirely for each shape

• By using the area of the base times the height

• By only using length and width

• By measuring the external dimensions

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What is the first step in finding the volume of a solid with given dimensions?

• Dividing the height by the width

• Multiplying length, width, and height

• Adding all the dimensions together

• Measuring the solid's weight

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How do you find the height of a rectangular prism if you know its volume and the dimensions of its base?

• Multiply the base dimensions by the volume

• Divide the volume by the product of the base dimensions

• Add the base dimensions to the volume

• Subtract the base dimensions from the volume

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What is the volume of a rectangular prism with a length of 8 meters, width of 5 meters, and height of 2 meters?

• 15 cubic meters

• 25 cubic meters

• 40 cubic meters

• 80 cubic meters

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If a rectangular prism has a volume of 128 cubic meters and a base area of 32 square meters, what is its height?

• 4 meters

• 160 meters

• 40 meters

• 96 meters

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