Volume 4 Lesson 15 Supplemental Worksheet - Learn Math Fast System

[Pages:5]Name ___________________________________________ Date ____________________

Volume 4 Lesson 15 Supplemental Worksheet

1. Find the area of a square that measures 5' x 14'. ____________________

2. Find the area of a circle with a 13' diameter. ____________________

3. Find the circumference of a circle with a 32' diameter. ______________________

4. Find the area of a triangle that has a 12" base and measures 24" high. _______________

5. Find the volume of a 12" cube. _______________

Volume 4 Lesson 15 Supplemental Worksheet page 2

6. The Okto Carmonia Orchestra will be performing on a circular stage that measures 50' across. Conductor Carlos Lopez needs to make sure each musician will have 6' x 6' of space, and the conductor will need 8' x 8' of space. There are 10 performers and one conductor. Is there enough space on the stage for the entire Orchestra? ________________

Square feet of space on stage =

______________________

Square feet needed for performers = ______________________

Square feet needed for conductor = ______________________

7. When you answer a question that asks you to solve for the area of a shape, your answer will always end with _____________ because you multiplied __________ units together.

8. When you answer a question that asks you to solve for the volume, your answer will always end with ____________ because you multiplied _____________ units together.

9. Which object best represents a space figure, a ball or a street sign? ____________

10. Which object best represents a plane figure, a box full of toy airplanes or a poster of an airplane? _______________

11. A 9" x 11" x 3" glass dish is full of water. It is poured into a plastic container that measures 4" x 9" x 5". Will all the water fit in the plastic dish? _____________

Volume 4 Lesson 15 Supplemental Worksheet page 3

12. A customer needs to ship 181 cubic inches of sugar. Which of the three boxes below will hold that much sugar? _______________

A. 8" x 6" x 3"

B. 10" x 3 ?" x 4"

C. 12" x 5.5" x 3.5"

13. You have two boxes on the table. The first box is 1 ?" tall and the top measures 4" x 5 ?". The other box is 2" tall and the bottom measures 3" x 6". Which box has the most volume? ______________________

14. One yard of dirt is equal to 27 cubic feet. The bed of your pickup truck measures 8' x 5' x 2'. Will one yard of dirt fit into the bed of your pickup truck? (The dirt must be level with or below the top of the bed). _________________

ANSWERS: Volume 4 Lesson 15 Supplemental Worksheet

1. Find the area of a square that measures 5' x 14'. 70 Square feet or 70' sq. or 702 ft. 5 ? 14 = 70

2. Find the area of a circle with a 13' diameter. 133.93 square feet or 133.93' sq. or 133.932 feet

= (2) = 3.14 ? 6.5 ? 6.5 = 133.9325 3. Find the circumference of a circle with a 32' diameter. 100.47 feet

= 32 ? 3.14 = 100.48 4. Find the area of a triangle that has a 12" base and measures 24" high. 144 square inches or 1442 inches

1 = 2 ? 12" ? 24" = 144 5. Find the volume of a 12" cube. 1,748 cubic inches or 1,748 A cube is the same size on all three sides, so 12" ? 12" ? 12" = 1,748

6. The Okto Carmonia Orchestra will be performing on a semicircular stage (half circle) that measures 50' across. Conductor Carlos Lopez needs to make sure the space allows for 16 square feet per musician and 25 square feet for the conductor. There are 20 musicians who have confirmed their participation. Is there enough space on the stage for the entire Orchestra? YES

Square feet of space on stage = Area of a circle = = 2 Area of a 50' circle = = 3.14(25)2 = 3.14 ? 625 = 1962.5 Area of half (semicircle) a 50' diameter stage = .

Square feet needed for performers = 16 . ? 20 = Square feet needed for conductor = Square feet needed for the whole orchestra =

ANSWERS: Volume 4 Lesson 15 Supplemental Worksheet page 2

7. When you answer a question that asks you to solve for the area of a shape, your answer will always end with SQUARED because you multiplied TWO units together.

8. When you answer a question that asks you to solve for the volume, your answer will always end with CUBED because you multiplied THREE units together.

9. Which object best represents a space figure a ball or a street sign? A BALL

10. Which object best represents a plane figure a box full of toy airplanes or a poster of an airplane? A POSTER

11. A 9" x 11" x 3" glass dish is full of water. It is poured into a plastic container that measures 4" x 9" x 5". Will all the water fit in the plastic dish? NO

= 9" ? 11" ? 3" = 297 = 4 ? 9 ? 5 = 180

12. A customer needs to ship 181 cubic inches of sugar. Which of the three boxes below will hold that much sugar? Box C

A. 8" x 6" x 3"

B. 10" x 3 ?" x 4"

C. 12" x 5.5" x 3.5"

A = 144 inches cubed

B = 140 inches cubed

C = 231 inches cubed

13. You have two boxes on the table. The first box is 1 ?" tall and the top measures 4" x 5 ?". The other box is 2" tall and the bottom measures 3" x 6". Which box has the most volume? The Second Box

First box = 1.5" ? 4" ? 5.5" = 33

Second box = 2" ? 3" ? 6" = 36

14. One yard of dirt is equal to 27 cubic feet. The bed of your pickup truck measures 8' x 5' x 2'. Will one yard of dirt fit into the bed of your pickup truck? (The dirt must be level with the top of the bed). YES

The volume of the bed of the pickup truck = 8 ? 5 ? 2 = 80

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