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NAME DATE
SCOREChapter 12 Test1. What shapes make up the surface of a soccer ball?
2. A regular triangle has one side length of 15 cm. Find the perimeter of the triangle.
3. A farmer is making a triangular corn maze for a fall attraction. Fill in the boxes next to the words that describe the triangle.
acute obtuse right
scalene isosceles equilateral
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Grade 5 • Chapter 12 Geometry 119
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use.4. A construction company has marked off a site for a building in the
shape of a quadrilateral. All four sides of the site are congruent. Opposite angles are congruent, but there are no right angles. Draw a possible shape for this site.
5. For each of the following pairs of quadrilaterals, describe one thing they have in common.
A rhombus and a square
A trapezoid and a rectangle
A square and a rectangle
A parallelogram and a rhombus
6. Jorge says he is thinking of a quadrilateral that has two right angles and at least one set of parallel sides and says that it must be a rectangle.
Part A: Draw a picture that proves Jorge wrong.
Part B: Name your shape.
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120 Grade 5 • Chapter 12 Geometry
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.7. A box company is experimenting with nets for making their boxes.
Circle any of the following that will fold up to make a box.
8. A bricklayer is laying bricks for a new patio.
Part A: Fill in the information below for the brick.
faces edges vertices
Part B: What is the name of the shape?
9. Each cube has a side length of 1 inch. Find the volume of the prism.
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Grade 5 • Chapter 12 Geometry 121
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use.10. A company that manufactures baskets makes them in the shape
of a rectangular prism.
Part A: The volume of one basket is 29,750 cubic inches. The basket is 35 inches wide and 34 inches long. Find the height of the basket.
Part B: The company makes two smaller baskets that have a volume of 9,600 cubic inches with a height of 25 inches. Find two possibilities for the length and the width.
11. Number each of the shapes from 1 to 3 in increasing order according to their volume. Each cube is one cubic centimeter.
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122 Grade 5 • Chapter 12 Geometry
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.12. Mrs. Huan has 6 books in a stack. The bottom two books are 12 inches
long, 1 inch thick, and 6 inches wide. The middle two books are 10 inches long, 1 inch thick, and 5 inches wide. The top two books are 7 inches long, 0.5 inches thick, and 4 inches wide. Find the volume of the stack.
13. A child is stacking blocks in a pyramid design as shown below, but much bigger. There are 66 blocks in all.
Part A: How many blocks are in the bottom row?
Part B: If each block is a cube with a side length of 2 inches, what is the volume of the construction?
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Grade 5 • Chapter 12 Geometry 123
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use.14. Jackson’s teacher asked him to look at what happens to the volume of
a rectangular prism when every side is doubled.
Part A: Fill in the following chart.
Length Width Height Volume
1 in 1 in 1 in
2 in 2 in 2 in
1 in 2 in 3 in
2 in 4 in 6 in
3 in 5 in 2 in
6 in 10 in 4 in
Part B: Describe what happens to the volume when each side is multiplied by 2.
15. Mark each statement as true or false.
True False
All rectangles are squares.
Some parallelograms are rhombuses.
All rhombuses are regular quadrilaterals.
Some trapezoids are parallelograms.
16. An architect is building a house that has 5 faces, 9 edges, and 6 vertices. What is the name for a three-dimensional figure that has these characteristics?
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124 Grade 5 • Chapter 12 Geometry
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