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Back to Tutor Intake Assessment: Represent three-dimensional figures using nets

6.G.A.4 Tutor Intake -- Nets and Surface Area

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Grade 6·7 problems·~8 min·Common Core Math - Grade 6·standard·6-g-a-4
Work through problems with immediate feedback
A

Concepts

1

A 3D figure has 5 faces total: 2 triangles and 3 rectangles.
Which figure is this?

2

A student unfolds a rectangular prism into a net arranged like a
"T" shape. A classmate unfolds the SAME rectangular prism into a
different net, arranged like a "+" (plus sign) shape. Both
arrangements have all 6 rectangular faces present, correctly
shaped, and fold cleanly with no gaps or overlaps. Are both
valid nets of the prism?

B

Procedures

1

Find the surface area of a rectangular prism with dimensions
4 units x 3 units x 2 units.

2

A triangular prism has a right-triangle base with legs 3 and 4
and hypotenuse 5 (triangle altitude relevant to area = 4, base =
3). The prism itself is 6 units long. Which value should be used
as the width of the three rectangular side faces?

3

A square pyramid has a square base with side 6 units and a
slant height (triangular face altitude) of 5 units. Find its
total surface area, in square units.

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