Exploring Measurement and Geometry: Practical Applications Quiz

1) Complete this sketch of a rectangular prism. Which point lies on an edge of the prism?

A

Y

Z

"X"

In a rectangular prism, an edge is formed when two faces meet. Point X is located at the intersection of two faces, making it the point that lies on an edge of the prism.

Explanation

In a rectangular prism, an edge is formed when two faces meet. Point X is located at the intersection of two faces, making it the point that lies on an edge of the prism.

2) Mrs. Thomas made 4 quarts of strawberry jelly. This amount is the same as

3 liters

1 gallon

5 pints

2 gallons

There are 4 quarts in 1 gallon, so 4 quarts of strawberry jelly is equivalent to 1 gallon.

Explanation

There are 4 quarts in 1 gallon, so 4 quarts of strawberry jelly is equivalent to 1 gallon.

3) Circle A has a diameter of 6 feet. The area of circle A is closest to

36.97 sq ft

11.32 sq ft

"28.26 sq ft"

18.85 sq ft

The correct formula to calculate the area of a circle is A = πr^2, where r is the radius of the circle. Since the diameter is given as 6 feet, the radius (r) is half of the diameter, which is 3 feet. Plugging the value of r into the formula gives A = π*(3)^2 = 9π ≈ 28.26 sq ft.

Explanation

The correct formula to calculate the area of a circle is A = πr^2, where r is the radius of the circle. Since the diameter is given as 6 feet, the radius (r) is half of the diameter, which is 3 feet. Plugging the value of r into the formula gives A = π*(3)^2 = 9π ≈ 28.26 sq ft.

4) What is the area of this figure?

14 cm2

35 cm2

"28 cm2"

20 cm2

The correct area of the figure is calculated as length x width, which in this case is 7 cm x 4 cm = 28 cm2.

Explanation

The correct area of the figure is calculated as length x width, which in this case is 7 cm x 4 cm = 28 cm2.

5) These figures are similar. What is the length of side n?

25

15

10

"20"

In similar figures, corresponding sides are proportional. Since side n is 1/5 of the larger figure's corresponding side, which is 100, the length of side n is 20.

Explanation

In similar figures, corresponding sides are proportional. Since side n is 1/5 of the larger figure's corresponding side, which is 100, the length of side n is 20.

6) Which triangle is similar to the one above?

Triangle B

Triangle A

Triangle D

Triangle C

Triangles are similar if their corresponding angles are congruent and their corresponding sides are in proportion. In this case, Triangle B is similar to the above triangle because it has the same angles and proportional sides.

Explanation

Triangles are similar if their corresponding angles are congruent and their corresponding sides are in proportion. In this case, Triangle B is similar to the above triangle because it has the same angles and proportional sides.