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

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Concepts

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

$8 \times 5$

$\frac{1}{2} \times 8 \times 5$

$8 + 5$

$2 \times 8 \times 5$

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

Any slanted side of the shape

The longest side of the shape

A perpendicular distance from the base

The perimeter divided by 2

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

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

It is horizontal because the y-coordinates are the same.

It is vertical because the y-coordinates are the same.

It is slanted because one coordinate is negative.

Its length cannot be found in Grade 6.

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

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

12 square units

20 square units

32 square units

64 square units

Find the volume of a rectangular prism with length $1.5$ units,
width 2 units, and height $\frac{1}{2}$ unit.

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

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