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Grade 10 Spatial Reasoning Worksheet

A Grade 10 Math worksheet focusing on spatial reasoning, including identifying 3D shapes, calculating surface area and volume, and understanding cross-sections.

Grade 10 Math GeometrySpatial Reasoning
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Includes

Multiple ChoiceFill in the BlanksShort AnswerTrue / FalseLong Answer

Standards

CCSS.MATH.CONTENT.HSG.GMD.B.4CCSS.MATH.CONTENT.HSG.MG.A.1
7 sections · Free to use · Printable
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Spatial Reasoning

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Read each question carefully and provide detailed answers. Show all your work for calculations.

1. Which of the following 3D shapes has exactly 6 faces, 12 edges, and 8 vertices?

a

Triangular Prism

b

Cube

c

Square Pyramid

d

Cylinder

2. A cross-section parallel to the base of a cone is what shape?

a

Triangle

b

Square

c

Circle

d

Ellipse

3. The   of a 3D object is the total area of all its surfaces.

4. A rectangular prism has   rectangular faces.

5. Calculate the volume of a cylinder with a radius of 5 cm and a height of 10 cm. Use π ≈ 3.14.

h=10cm r=5cm

6. A cube has a side length of 7 meters. What is its surface area?

7 m

7. A sphere has no vertices or edges.

T

True

F

False

8. Imagine you are slicing a rectangular pyramid. Describe at least two different shapes you could get as cross-sections depending on how you slice it.