Volume Calculation of Rectangular Prisms

The video tutorial explains how to determine the volume of a solid by decomposing it into two right rectangular prisms. It covers the use of the volume formula (length x width x height) and demonstrates two methods of cutting the solid: horizontally and vertically. The tutorial then provides a step-by-step calculation of the volumes of the right and left boxes, followed by summing these volumes to find the total volume of the solid, which is 434 cubic feet.

What is the first step in determining the volume of the given solid?

• Measure the weight of the solid.

• Calculate the surface area.

• Decompose the solid into two right rectangular prisms.

• Find the perimeter of the solid.

Which formula is used to calculate the volume of a right rectangular prism?

• Volume = length x width x height

• Volume = length + width + height

• Volume = length x height

• Volume = length x width

How can the solid be cut to form two boxes?

• Diagonally or horizontally

• Horizontally or vertically

• Vertically or diagonally

• Horizontally or diagonally

What is the height of the box on the right?

• 4 feet

• 7 feet

• 6 feet

• 5 feet

What is the volume of the box on the right?

• 150 cubic feet

• 224 cubic feet

• 210 cubic feet

• 434 cubic feet

What is the height of the box on the left?

• 7 feet

• 4 feet

• 5 feet

• 6 feet

How is the missing edge length of the box on the left determined?

• By multiplying 5 feet and 13 feet

• By subtracting 5 feet from 13 feet

• By adding 5 feet and 13 feet

• By dividing 13 feet by 5 feet

What is the volume of the box on the left?

• 224 cubic feet

• 210 cubic feet

• 434 cubic feet

• 150 cubic feet

What is the total volume of the solid?

• 150 cubic feet

• 434 cubic feet

• 224 cubic feet

• 210 cubic feet

How is the total volume of the solid calculated?

• By adding the volumes of the two boxes

• By subtracting the volume of the left box from the right box

• By multiplying the volumes of the two boxes

• By dividing the volume of the right box by the left box