Calculating Volume of Composite Figures

The video tutorial explains how to find the volume of a composite figure by breaking it down into simpler shapes, specifically rectangular prisms. The instructor demonstrates the process of dividing the figure into two prisms, calculating the volume of each, and then adding them together to find the total volume. Key measurements and calculations are highlighted, emphasizing the commutative property of multiplication and the importance of understanding dimensions.

What is a composite figure?

• A two-dimensional shape

• A single rectangular prism

• A shape made of multiple simple shapes

• A shape with no volume

Why do we need to split a composite figure into simpler shapes?

• To calculate the volume more easily

• To make it look more complex

• To change its dimensions

• To find the perimeter

What is the first step in calculating the volume of a composite figure?

• Breaking it into known shapes

• Finding the surface area

• Identifying the shape

• Measuring its weight

What are the dimensions used to calculate the volume of Prism A?

• Length, breadth, and circumference

• Radius, diameter, and height

• Base, height, and depth

• Length, width, and height

How is the volume of a rectangular prism calculated?

• 2 x (Length + Width + Height)

• Length x Width x Height

• Length + Width + Height

• Length x Width

What is the volume of Prism A?

• 27 cubic inches

• 35 cubic inches

• 89 cubic inches

• 54 cubic inches

How do you find the missing dimension of Prism B?

• By guessing

• By subtracting known dimensions from the total

• By adding all dimensions

• By measuring directly

What is the volume of Prism B?

• 27 cubic inches

• 89 cubic inches

• 54 cubic inches

• 35 cubic inches

What is the total volume of the composite figure?

• 35 cubic inches

• 54 cubic inches

• 89 cubic inches

• 100 cubic inches

What is the final step in finding the volume of a composite figure?

• Subtracting the volumes of the parts

• Adding the volumes of the parts

• Multiplying the volumes of the parts

• Dividing the volumes of the parts