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Check Geometry Study Guide

Total questions: 15

Worksheet time: 9mins

Name
Class
Date
1.

A cylinder has a radius of 7 inches and a height of 20 inches. Which is closest to the total surface area of this cylinder?

a)

A. 517 sq in

b)

B. 769 sq in

c)

C. 1,187 sq in

d)

D. 3,077 sq in

2.

What is the approximate surface area of the cylinder rounded to the nearest whole number?

a)

659 square feet

b)

816 square feet

c)

1,382 square feet

d)

1,649 square feet

3.

Which of the sollowing dimensions will create a rectangular prism that has a volume of 240 cubic meters and a surface area of 248 square meters

a)

A. l=2m, w=6m, h=20m

b)

B. l=4m, w=6m, h=10m

c)

C. l=4m, w=3m, h=16m

d)

D. l=8m, w=3m, h=10m

4.

A cube could be made using a net. What would be the total surface area of the cube created using the net?

(a)  

5.

Soup is stored in a cylindrical container that has a radius of 3 inches and a height of 8 inches. Which is closest to the maximum amount of soup the container can hold?

a)

A. 904.32 cubic inches

b)

B. 226.08 cubic inches

c)

C. 150.72 cubic inches

d)

D. 75.36 cubic inches

6.

Melody bought a fish tank in the shape of a rectangular prism for her living room. Which statement will help her figure out how much water she will need to fill the tank?

a)

A. Find the surface area by using the formula: SA= 2lw+2lh+2wh

b)

B. Find the surface area by using the formula: SA= πr2\pi r^2  

c)

C. Find the volume by using the formula: V= 2lw+2lh+2wh

d)

D. Find the Volume by using the formula: V=lwh

7.
a)

A. 1152 in3in^3  

b)

B. 574 in3in^3  

c)

C. 288 in3in^3

d)

D. 192 in3in^3  

8.

Grant is creating a new solid cylindrical pole for the sail on his boar. He will melt the metal down to form the pole and then paint it. The pole will be 16 feet tall and halve a diameter of 6 inches. Which of the following statements are correct

a)

Find the surface area to know how much paint he will need to paint the outside

b)

Find the surface area to know much metal to buy

c)

Find the volume to know how much space the pole will take up on the deck.

d)

Find the volume to figure out how much metal to buy

e)

Find the volume to know how much paint he will need to paint the outside.

9.

A swimming pool is 50 meters long, 25 meters wide and 3 meters deep. A liter is the same as 0.001 cubic meters. How many liters of water are needed to fill the pool?

a)

A. 3,750 liters

b)

B. 37,500 liters

c)

C. 375,000 liters

d)

D. 3,750,000 liters

10.

As a project in tech class, the students are making aluminum flower pots shaped like cylinders. There is a bottom on each pot, but not top. If the pots are 9 inches in height and have a diameter of 12 inches, how many square inches of aluminum are needed for each pot? (NUMBER ONLY)

(a)  

11.
a)

A. (-2,-3)

b)

B. (2,-3)

c)

C. (-2,3)

d)

D. (2,3)

12.
a)

A. (3,5)

b)

B. (-3,2)

c)

A. (3,2)

d)

A. (-3,5)

13.
a)

A. (-1, 2)

b)

B (-1, 6)

c)

C (-7, 6)

d)

D (-7, 2)

14.
a)

A. (2,-2)

b)

B. (-2, -4)

c)

C. (2, -4)

d)

D. (-2, 2)

15.

The vertex of the pre-image of a rectangle is located at (1,-2). What is the ordered pair for the vertex of the image after it is translated 4 units to the right and reflected over the y-axis?

a)

A. (5,2)

b)

B. (-3, 2)

c)

C. (-5, -2)

d)

D. (3, -2)