Surface Area of a Composite Figure

The video tutorial explains how to find the surface area of a composite figure, specifically a toy barn. The instructor breaks down the barn into simpler shapes like rectangles and triangles, calculates the area of each shape, and then sums them up to find the total surface area. The process involves using basic area formulas and arithmetic operations. The tutorial emphasizes the importance of understanding the dimensions and applying the correct formulas to achieve accurate results.

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

• Break it down into simpler shapes.

• Draw a 3D model of the figure.

• Calculate the volume of the figure.

• Measure the height of the figure.

Tags

CCSS.4.MD.A.3

What are the dimensions of the rectangles on the sides of the barn?

• 7 by 8

• 8 by 8

• 6 by 12

• 14 by 8

How do you determine the height of the triangle in the barn?

• By subtracting the given line length from another dimension.

• By measuring the base directly.

• By subtracting the base from the total length.

• By using the Pythagorean theorem.

Tags

CCSS.6.G.A.1

What is the formula used to calculate the area of the triangle?

• One half base times height

• Base minus height

• Base times height

• Base plus height

Tags

CCSS.3.MD.D.8

What are the dimensions of the roof of the barn?

• 12 by 6

• 8 by 8

• 7 by 8

• 14 by 8

Tags

CCSS.7.G.B.6

What is the total area of the rectangles on the sides of the barn?

• 64 cm²

• 56 cm²

• 128 cm²

• 112 cm²

Tags

CCSS.6.G.A.1

What is the total area of the triangular components?

• 72 cm²

• 144 cm²

• 24 cm²

• 48 cm²

Tags

CCSS.7.G.B.6

What is the total area of the roof components?

• 128 cm²

• 112 cm²

• 144 cm²

• 72 cm²

Tags

CCSS.7.G.B.6

What is the final total surface area of the barn?

• 350 cm²

• 500 cm²

• 400 cm²

• 432 cm²

Why is the surface area expressed in square centimeters?

• Because it is a length measurement.

• Because it is a 2D measurement.

• Because it is a volume measurement.

• Because it is a 3D measurement.