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Unit 1 Review Estimating with Area and Volume

Total questions: 11

Worksheet time: 22mins

Name
Class
Date
1.

What is the formula for VOLUME of a rectangular solid?

a)

V = lw

b)

V = lwh

c)

V = lh

d)

V = l+w+h

2.

What is the volume in cubic feet of a storage box that measures 12 inches * 72 inches * 36 inches?

(1 foot = 12 inches)

a)

18 ft

b)

31,104 cubic feet

c)

18 cubic feet

d)

`2592 cubic feet

3.

95 tennis balls fit into a box with a volume of 1.4 cubic feet. Estimate the number of tennis balls it would take to fill our classroom with the volume of 11,500 cubic feet.

a)

About 180 tennis balls

b)

About 500 tennis balls

c)

About 780,000 tennis balls

d)

About 8,214 tennis balls

4.

A crowd is 13 feet wide on both sides of the street standing all along a 2.6-mile section of a parade route. Organizers estimate that the crowds density was one person/3 square feet. Estimate the crowd size.

1 mile = 5,280 feet

a)

178,464 people

b)

205,920 people

c)

59,488 people

d)

118,976 people

5.

Dance studio rooms are 45.5 ft by 12.25 ft. For teaching dance, the studio has determine each dance requires a space that is 35 in by 35 in. How many students can each studio room hold?

1 foot = 12 inches

a)

80,262 students

b)

1225 students

c)

66 students

d)

35 students

6.

A 2.5 gallon bucket is filled with paintball pellets. Each pellet is a sphere with a radius of 8.5 mm.


Calculate the volume of a single paintball pellet in cubic inches (in3).


25.4 mm = 1 inch


(This answer will be used in the next question)

a)

0.392 in3

b)

0.16 in3

c)

1.26 in3

d)

0.0040 in3

7.

Using the single pellet volume (from Q7):

Estimate the total number of paintball pellets that a 2.5 gallon bucket can hold. (Only 70% of the volume is filled with the spherical pellets).


1 gallon = 231 cubic inches

HINT: 2.5 gallons *IS* the volume of the bucket.

a)

2575 pellets

b)

1208 pellets

c)

101,214 pellets

d)

322 pellets

8.

Fun Plex owner needs a new ball pit that measures 14 feet long by 14 feet wide by 2 feet deep. Calculate the volume of the ball pit in cubic inches.

1 foot = 12 inches

a)

4500 cubic feet

b)

677,376 cubic feet

c)

392 cubic feet

d)

5400 cubic feet

9.

Fun Plex owner needs to purchase enough balls to fill the pit. The radius of each ball is 2 inches. Calculate the approximate volume of each ball in cubic feet.

1 foot = 12 inches

You will use this answer for the next question


HINT: Do Unit Conversion BEFORE calculating the Volume.

a)

0.00984 cubic FEET

b)

0.148 cubic FEET

c)

0.037 cubic FEET

d)

0.019 cubic FEET

10.

Fun Plex owner needs a new ball pit that measures 14 feet long by 14 feet wide by 2 feet deep. He needs to purchase enough balls to fill the pit. Estimate the total number of balls needed to fill the pit.


Use the previous solution to solve this problem.

a)

approximately 178,200 balls

b)

approximately 20,600 balls

c)

approximately 10,600 balls

d)

approximately 2,700 balls

11.

What is the formula for AREA of a rectangle?

a)

A = lw

b)

A = lwh

c)

A = lh

d)

A= l+w+h