Warm-up An equilateral triangle is inscribed in a circle with a radius of 4 meters. Find the area of shaded region? 4 m.

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Presentation transcript:

Warm-up An equilateral triangle is inscribed in a circle with a radius of 4 meters. Find the area of shaded region? 4 m

Sketch a net for each three- dimensional figure.

What’s that net?

Sketch and label each three- dimensional figure.

Sketch the three-dimensional representation.

What’s that net?

Bases – two congruent and parallel faces. Lateral Faces – the faces that are connecting to the bases. Lateral Edges – the edges that formed lateral faces Prisms Right Pentagonal Prism

Oblique Rectangular Prism height

Draw a net of this box and label the measurements.

What is 2lw of the rectangular prism? What is (2w+2l) of the rectangular prism? S = area of the bases + height (perimeter of the base) The area of the two bases The perimeter of the base

Theorem Surface Area of a Right Prism The surface area S of a right prism can be found using the formula: S = 2B+Ph, Where B is the area of a base, P is the perimeter of a base, and h is the height. B = lw P =2l + 2w

Example 1: A book with dimensions 9 inches by 6.5 inches by 0.6 inch is shown below. What is the area of the entire cover of the book? Round the answer to the nearest tenth of a square inch. Note: This figure is not drawn to scale. 9 inches 0.6 in 6.5 in. Area = area of the two bases + area of the side

Finding Lateral and Surface Area Lateral AreaSurface Area 18 cm Using the Pythagorean Theorem to find the length=10