Exploring Surface Area and Volume of Composite Figures

What shapes make up the bat house?

• Rectangular prism and triangular prism

• Cylinder and sphere

• Cube and pyramid

• Rectangular prism and cylinder

How do you find the surface area of the bat house?

• Use the Pythagorean theorem

• Subtract overlapping faces after adding each face's area

• Multiply length by width by height

• Add the area of each face

What method is used to find the volume of a composite figure?

• Subtract the volume of smaller shapes from larger ones

• Use integration

• Multiply base area by height

• Add the volumes of known shapes

How is the volume of the cube part of the composite figure calculated?

• Length + Width + Height

• 1/3 Base area × Height

• Base area × Height

• Length × Width × Height

What is the total volume of the composite figure mentioned in the lesson?

• 384 cubic units

• 768 cubic units

• 618.7 cubic feet

• 228 cubic centimeters

How many faces of the cube are considered in the surface area calculation?

• 3

• 4

• 5

• 6

What is the total surface area of the composite figure?

• 144 square units

• 42 square units

• 30 square feet

• 84 square units

How do you calculate the area of a rectangle?

• Length × Height

• Base × Height

• Length × Width

• Length + Width

Why are some faces not included in the surface area calculation?

• They are on the bottom

• They overlap with other faces

• They do not exist

• They are internal faces

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

• Drawing and labeling each face

• Calculating the area of each face

• Identifying the shapes that make up the figure

• Adding up the areas of all faces