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Surface Area and Volume of 3D figures

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1 Surface Area and Volume of 3D figures
Geometry Test Review Name:________________ Date:_________________ Class Period:___________ Volume- the area of the 3D figure’s base multiplied by the figure’s height Surface area- the sum of the areas of each face Also remember: How to find the surface area and volume of complex shapes How to slice 3D solids to determine the shape of the cross sections

2 Finding area of composed figures
Vocabulary w/ Angles Complementary angles- two angles whose measures add up to 90 degrees Supplementary angles- two angles who measures add up to 180 degrees Vertical angles- opposite angles formed when two lines intersect; vertical angles are congruent Adjacent Angles- angles that share a common line segment and vertex *make sure you can solve for missing angles in geometric figures! Formula for a triangle and a rectangle 1 2 bh (triangle) l x w (rectangle Composite Figures (know how to solve for area of complex shapes)

3 Vocabulary w/Circles Circles Examples Circumference Area Semi circle
Circumference- the distance around a circle Center- a point inside a circle that is equidistant from each point on the circle Diameter- the distance across the circle through the center Radius- the distance from the center to any point on the circle** radius is half the size of the diameter** Circumference Formulas: 2𝜋𝑟 or 𝜋d Area Formula: 𝐴=𝜋 𝑟 2 Circumference Area Semi circle

4 Vocabulary w/Scale Drawings
Scale Examples Scale drawing- a drawing that shows an object with its measurements in proportion to the actual measurements of the object Scale- a ratio that compares the measurements used in a scale drawing with the actual measurements Scale factor- a constant of proportionality Use scale to find the actual area Use scale to find the actual height or width Additional Practice: Common Assessment, Study Guide, IP: p. 244

5 #1

6 #2

7 #3 (No calculator)

8 #4 Find the area and circumference of a circle with a diameter of 8 ½  cm.  Area: ______________ Circumference: _______________  #5 (NO calculator)

9 #6 (NO calc)

10 #7

11 #8

12 #9 Find the volume of a right rectangular prism if the dimensions are 4.5 in, 8 in, and 12.4 in. Round to the nearest tenth.

13 #10

14 #11 Two angles are complementary. One angle is labeled (4x – 9)°. The other angle is labeled 5°. Find the value of x. #12 (NO calculator)

15 #13 If the height of the figure is 5 cm, the length is 10 cm, and the width is 7 cm, what is the volume of the figure?

16 #14


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