Finding Dimensions of Rectangular Prisms

The video tutorial explains how to find the missing side lengths of a rectangular prism when given two side lengths and the volume. It covers three problems: calculating the length with integer dimensions, finding the width with fractional dimensions and mixed volume, and determining the height with decimal dimensions and complex volume. The tutorial uses the volume formula and demonstrates solving one-step equations. It concludes with a call to practice the problems discussed.

What is the formula used to find the volume of a rectangular prism?

• Volume = Length × Width

• Volume = Length × Width × Height

• Volume = Length + Width + Height

• Volume = Width × Height

If the volume of a rectangular prism is 864 cubic inches, the width is 9 inches, and the height is 8 inches, what is the length?

• 10 inches

• 11 inches

• 12 inches

• 13 inches

What operation is used to isolate the unknown length in the equation 864 = Length × 72?

• Division

• Addition

• Multiplication

• Subtraction

Given a rectangular prism with a length of 3.5 feet, a height of 0.5 feet, and a volume of 4 3/8 cubic feet, what is the width?

• 2 feet

• 3 feet

• 2.5 feet

• 3.5 feet

How do you rearrange the equation 3.5 × 0.5 × Width = 4 3/8 to solve for the width?

• Add 1.75 to both sides

• Subtract 1.75 from both sides

• Multiply both sides by 1.75

• Divide both sides by 1.75

What is the width of a rectangular prism if the volume is 4 3/8 cubic feet, the length is 3.5 feet, and the height is 0.5 feet?

• 1.5 feet

• 2.5 feet

• 3 feet

• 2 feet

For a rectangular prism with a volume of 1387.336 cubic centimeters, a length of 6.8 cm, and a width of 10.1 cm, what is the height?

• 21.2 cm

• 20.2 cm

• 19.2 cm

• 18.2 cm

What is the first step in solving for the height of a rectangular prism when given the volume, length, and width?

• Divide the volume by the length

• Add the length and width

• Multiply the length and width

• Subtract the width from the volume

How do you find the height of a rectangular prism if the product of the length and width is 68.68 and the volume is 1387.336?

• Divide the volume by 68.68

• Add 68.68 to the volume

• Multiply the volume by 68.68

• Subtract 68.68 from the volume

What is the height of a rectangular prism if the volume is 1387.336 cubic centimeters, the length is 6.8 cm, and the width is 10.1 cm?

• 22.2 cm

• 20.2 cm

• 19.2 cm

• 21.2 cm