Composite Figures and Surface Area

This video tutorial teaches how to find the surface area of composite figures, which are made up of multiple 3D shapes. It explains the importance of this skill for the Inflatables project, where students design unique shapes by combining different 3D forms. The video provides a detailed example using a rectangular prism and a cone, demonstrating how to calculate their individual surface areas and then combine them to find the total surface area of the composite figure. Key steps include separating shapes, identifying which parts to include, and using formulas for lateral surface areas.

What is a composite figure?

• A figure with no defined shape

• A figure made up of only one shape

• A figure made up of more than one three-dimensional shape

• A two-dimensional shape

Why is understanding composite figures important for the Inflatables project?

• To focus only on two-dimensional designs

• To create a single shape

• To design the coolest shape possible by combining multiple shapes

• To avoid using any shapes

What is the first step in finding the surface area of a composite figure?

• Estimate the total area

• Separate each shape and determine how to find its surface area

• Draw the figure

• Calculate the volume

When calculating the surface area of a composite figure, why might you not include certain parts?

• Because they are not important

• Because they are not visible

• Because they are covered by another shape

• Because they are too small

What formula is used to find the lateral surface area of a cone?

• pi * r^2

• 2 * pi * r

• pi * r * s

• pi * d

What is the slant height of a cone?

• The vertical height from base to apex

• The diagonal distance on the surface of the cone

• The radius of the base

• The diameter of the base

How do you find the slant height if only the height and radius are known?

• Multiply the height by the radius

• Use the formula for the area of a circle

• Use the Pythagorean theorem

• Subtract the radius from the height

What is the purpose of drawing a net when finding the surface area of a rectangular prism?

• To simplify the shape

• To find the perimeter

• To visualize the volume

• To identify all the faces and their dimensions

How do you calculate the total surface area of a rectangular prism?

• Divide the total volume by the height

• Add the areas of all the faces

• Multiply the length by the width

• Subtract the area of the base

Why do you subtract the area of the circle from the surface area of the rectangular prism?

• Because the circle is covered by the cone

• Because the circle is too small

• Because the circle is not visible

• Because the circle is not part of the prism