7th ACA Minor 4.4 Prep

A triangular prism and a triangular pyramid have congruent heights and bases. Write a statement that is true about their relationship and formulas?

• A prism is 3 times the size of a pyramid (V=1/3Bh)

• A prism is 1/3 times the size of a pyramid (V=1/3Bh)

• A prism and pyramid have the same volume.

• A pyramid is 3 times less than the volume of a prism.

A group of students formed a circle during a game. The circumference of the circle was about 25.25 feet, and the diameter of the circle was 12 feet.

Which expression best represents the value of pi?

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Write an expression that represents the area of the circle shown below.

Mathematical Equivalence

ON

The diagram shows the radius of the circular opening of a drinking cup.

What is the circumference of the opening in centimeters? Use 3.14 for pi.

The head of a nail is circular, as shown. The head of this nail has a diameter of 12 millimeters.

What is the area of the head of this nail in square millimeters? Pi is 3.14

A model of a rectangular stove top with four circular burners is shown. The side lengths of the stove top and the diameters of the burners are labeled.

What is the area in square inches ?of the stove top that does not include the area of the burners? Use 3 for pi.

The shape consists of a square and two congruent right triangles. What is the area of the figure?

The dimensions of a triangular prism are shown in the diagram. What is the volume of the triangular prism in cubic centimeters?

Matias drew a model of a square pyramid. The dimensions of the model are shown in the diagram.

What is the volume of Matias’s model in cubic centimeters?

The net of a triangular prism and its approximate dimensions are shown in the diagram.

What is the total surface area of the triangular prism in square inches?