Quiz about Boot Camp Day 1: Measurement in 2-Dimensions

Question 1

Which of the cross sections described would result in a rectangle with a height of inches (in.)?

Accepted Answer

A vertical cross section through the center of a cylinder with a radius of 4 in. and a height of 4 in.

Answer

A horizontal cross section through the center of a sphere with a radius of 4 in.

Answer

A horizontal cross section through the center of a cone with a radius of 4 in. and a height of 8 in.

Answer

A vertical cross section through the center of a cone with a radius of 4 in. and a height of 4 in.

Question 2

A right rectangular prism with a plane that is horizontal to the base is shown with measurements in centimeters (cm). Point $$N$$ is a vertex of the prism and point $$H$$ is on the edge of the prism. The length of the prism is 9 cm., the height is 7cm., and the width is 5cm. HN = 3.7 cm.

Complete the statement: The cross section created by the horizontal plane is a rectangle. The dimensions of the cross section are _______________?

Accepted Answer

5 cm X 9 cm

Answer

3.7 cm X 5 cm

Answer

3.7 cm X 9 cm

Answer

7 cm X 9 cm

Answer

5 cm X 7 cm

Question 3

Given $$a=3$$ and $$b=5$$ , complete the statement. The three-dimensional shape that is created when the rectangle is rotated around the $$y$$ -axis is a [Drop Down 1] with a [Drop Down 2] of [Drop Down 3] and a height of [Drop Down 4].

The answer to 'Drop Down 1' is?

Accepted Answer

cylinder

Answer

cone

Answer

pyramid

Answer

rectangular prism

Question 4

Given $$a=3$$ and $$b=5$$ , complete the statement. The three-dimensional shape that is created when the rectangle is rotated around the $$y$$ -axis is a [Drop Down 1] with a [Drop Down 2] of [Drop Down 3] and a height of [Drop Down 4].

The answer to 'Drop Down 2' and 'Drop Down 3' is?

Accepted Answer

radius3

Answer

width3

Answer

width6

Answer

radius6

Question 5

Given $$a=3$$ and $$b=5$$ , complete the statement. The three-dimensional shape that is created when the rectangle is rotated around the $$y$$ -axis is a [Drop Down 1] with a [Drop Down 2] of [Drop Down 3] and a height of [Drop Down 4].

The answer to 'Drop Down 4' is?

Accepted Answer

5

Answer

3

Answer

6

Answer

10

Question 6

Given $$a=2$$ and $$b=6$$ , complete the statement. The three-dimensional shape that is created when the rectangle is rotated around the $$x$$ -axis is a [Drop Down 1] with a [Drop Down 2] of [Drop Down 3] and a height of [Drop Down 4].

The answer to 'Drop Down 1' is?

Accepted Answer

cylinider

Answer

cone

Answer

pyramid

Answer

rectangular prism

Question 7

Given $$a=2$$ and $$b=6$$ , complete the statement. The three-dimensional shape that is created when the rectangle is rotated around the $$x$$ -axis is a [Drop Down 1] with a [Drop Down 2] of [Drop Down 3] and a height of [Drop Down 4].

The answer to 'Drop Down 2' and 'Drop Down 3' is?

Accepted Answer

radius6

Answer

width 2

Answer

width6

Answer

radius 2

Question 8

Given $$a=2$$ and $$b=6$$ , complete the statement. The three-dimensional shape that is created when the rectangle is rotated around the $$x$$ -axis is a [Drop Down 1] with a [Drop Down 2] of [Drop Down 3] and a height of [Drop Down 4].

The answer to 'Drop Down 4' is?

Accepted Answer

2

Answer

4

Answer

6

Answer

12

Question 9

A pizzeria makes pizzas in the shape of a regular octagon, and cuts them into 8 identical triangular slices. The diameter of the pizza is 12 inches. Complete the statements. The perimeter of each slice, to the nearest integer, is?

Accepted Answer

17

Answer

16

Answer

18

Answer

19

Question 10

A pizzeria makes pizzas in the shape of a regular octagon, and cuts them into 8 identical triangular slices. The diameter of the pizza is 12 inches. Complete the statements. The area of each slice, to the nearest integer, is?

Accepted Answer

13

Answer

14

Answer

15

Answer

16

Question 11

In 1960, the population of Hardee County, Florida was 12,370. In 2000, the population of Hardee County was 26,938. Hardee county is in the shape of rectangle. The horizontal distance of the county is 48.6 kilometers and the vertical distance of the county is 34.6 kilometers. An outline of Hardee County is shown with measurements in kilometers.

In 1960, the population density was approximately 7.36 persons per square kilometer. In 2000, the population density increased by approximately [Drop Down 1] persons per square kilometer.

The answer to 'Drop Down 1' is:

Accepted Answer

8.66

Answer

16.02

Answer

0.08

Answer

139.54

Boot Camp Day 1: Measurement in 2-Dimensions

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