Cross Sections of Rectangular Prisms and Regular Pyramids
Surface Area and Volume
3 points
3
Question 1
1.
Vocabulary Review: Complete each definition and then provide an example of each vocabulary word.
Draggable item
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Corresponding Item
A circle’s _________________________ is the distance from the edge of the circle to its center.
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circumference
The 2D shape that is exposed when a slice is made through a 3D object.
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composite figure
The number of square units that cover a shape is the _________________________ of the a shape.
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area
Volume is measured in
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cross section
The combination of two or more geometric shapes
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radius
The distance around a circle is the
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cubic units (example: cm3)
1 point
1
Question 2
2.
The length of the minute hand of a clock is 8 inches. What is the length of the path traced by the outer tip of the minute hand in one hour? Use 3.14 for π.
2 points
2
Question 3
3.
The circumference of a bicycle tire is 49 inches. What is the diameter of the tire?
Use 3.14 for π.
Round your answer to the closest tenth (one number after the decimal).
4 points
4
Question 4
4.
A circular window has circumference 114 inches. What is the area of the window? Use 3.14 for π.
Be sure to show all of your work. Steps:
Use the equation for circumference, C = π2r, to solve for radius.
Use your value for the radius to solve for the area, A = πr2.
1 point
1
Question 5
5.
The figure shows a rectangular pyramid. What shape is of the two vertical cross-sections?
1 point
1
Question 6
6.
What is the area of the vertical cross-section made through the vertex and parallel to the 2 inch side of the base?
formulas: SA of a rectangle = length • width. SA of a triangle = 1/2 base • height
8 points
8
Question 7
7.
An architect creates a playground for a park. Find the total area of the playground. Use 3.14 for π.
Be sure to show all of your work. Steps:
Part A: Find the area of each shape.
Part B: Add the area of each shape together to determine the area of the playground.
6 points
6
Question 8
8.
A building that is used for storage has the dimensions shown. What is the volume of the building?
Be sure to show all of your work. Steps:
Find the volume of the triangular prism.
Find the volume of the rectangular prism.
Add the volume of both shapes together.
You must answer all of the questions below to complete test corrections. Miss Gowton will not know to take another look at your test without answering the questions below.
1 point
1
Question 9
9.
Did you use our Geometry Formula sheet or YouTube tutorials on your first Test attempt?
1 point
1
Question 10
10.
Did you show all of your work on the first Test attempt?
1 point
1
Question 11
11.
What was your biggest challenge when attempting the Test?