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Rectangular Pyramid Geometry Worksheet

A Grade 12 math worksheet focusing on the properties, surface area, and volume of rectangular pyramids.

Grade 12 Math GeometryGeometry 3D ShapesRectangular Pyramid
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Includes

Multiple ChoiceFill in the Blanks2 Short AnswerTrue / FalseLong Answer

Standards

CCSS.MATH.CONTENT.HSG.GMD.A.3CCSS.MATH.CONTENT.HSG.GMD.B.4

Topics

geometryrectangular pyramid3D shapessurface areavolumegrade 12
8 sections · Free to use · Printable
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Rectangular Pyramid Geometry

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Read each question carefully and answer to the best of your ability. Show all your work for calculations.

1. Which of the following best describes the base of a rectangular pyramid?

a

A triangle

b

A square

c

A rectangle

d

Any polygon

2. How many lateral faces does a rectangular pyramid have?

a

3

b

4

c

5

d

6

3. The point where all the lateral faces of a pyramid meet is called the  .

4. The formula for the volume of a pyramid is V =  .

5. A rectangular pyramid has a base with dimensions of 6 cm by 8 cm, and a height of 10 cm. Draw a simple sketch of this pyramid and label its dimensions. Then, calculate its volume.

8 cm6 cm10 cm

6. A rectangular pyramid has a base length of 12 cm, a base width of 5 cm, and a slant height of 13 cm. Calculate the lateral surface area of the pyramid.

7. All the lateral faces of a rectangular pyramid are congruent triangles.

T

True

F

False

8. A rectangular pyramid has 5 vertices.

T

True

F

False

9. A gift box is in the shape of a rectangular pyramid. The base measures 10 inches by 8 inches, and the height of the pyramid is 12 inches. If you want to wrap the entire gift box, what is the minimum amount of wrapping paper (surface area) you will need? (Assume no overlap in wrapping). Round your answer to two decimal places.