Back to Tutor Intake Assessment: Geometry

6.G Tutor Intake - Area, Volume, Coordinate Geometry, and Surface Area

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Grade 6·12 problems·~15 min·Common Core Math - Grade 6·domain·6-g
Work through problems with immediate feedback
A

Concepts

1.

A triangle has base 8 units and height 5 units. Which expression
gives its area?

2.

In an area formula for a triangle or parallelogram, what does
"height" mean?

3.

A prism is packed with 12 small cubes. Each small cube has volume
18\frac{1}{8} cubic inch. What is the prism's volume?

4.

Which statement is true about a coordinate-plane segment whose
endpoints are (2,3)(-2, 3) and (5,3)(5, 3)?

B

Procedures

1.

Find the area of a triangle with base 10 units and height 6 units.

2.

A trapezoid has bases 6 units and 10 units and
height 4 units.
What is its area?

3.

Find the volume of a rectangular prism with length 1.51.5 units,
width 2 units, and height 12\frac{1}{2} unit.

4.

Find the surface area of a rectangular prism with length 4 units,
width 3 units, and height 2 units.

C

Applications

1.

A rectangular garden is 8 meters by 5 meters. A triangular corner
with base 4 meters and height 3 meters is not planted. What planted
area remains?

2.

Find the length of the horizontal segment from (3,4)(-3, 4) to (5,4)(5, 4).

3.

A rectangle has vertices (2,1)(-2, 1), (3,1)(3, 1), (3,4)(3, 4), and
(2,4)(-2, 4). Find its area.

4.

A display stand is a square pyramid with square base side 6 inches
and four triangular faces. Each triangular face has base 6 inches and
slant height 5 inches. Find the total surface area, including the base.

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