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G7 U4-Mod9 Worksheet

This worksheet contains math problems for 7th grade students involving geometry concepts like circumference, area, surface area, and volume. There are multiple choice and short answer questions calculating the circumference and area of circles with different diameters. Other questions involve finding the surface area and volume of composite shapes, prisms, and pyramids made of cubes. The worksheet provides practice applying formulas to real world examples like tile flooring, cake baking, and a cheese display.

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Omama Hamed
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68 views6 pages

G7 U4-Mod9 Worksheet

This worksheet contains math problems for 7th grade students involving geometry concepts like circumference, area, surface area, and volume. There are multiple choice and short answer questions calculating the circumference and area of circles with different diameters. Other questions involve finding the surface area and volume of composite shapes, prisms, and pyramids made of cubes. The worksheet provides practice applying formulas to real world examples like tile flooring, cake baking, and a cheese display.

Uploaded by

Omama Hamed
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Horizon International School

Math Department
Worksheet # 4
Unit 4 Module9 L(1,2,3,4,5)

Grade (7)
Name: ------------------------------- Date: ---------------

L9.1: Circumference

22
Find the circumference of each circle. Use 3.14 or for .
7
Round to the nearest hundredth, if necessary.

1. 2. 3.

4. 5. 6.

7. 8. 9.

Solve.
10. A circular swimming pool is 21 feet in diameter. What is the
circumference of the swimming pool? Use 22 for .
7

11. A jar lid has a diameter of 42 millimeters. What is the


circumference of the lid? Use 22 for 𝜋.
7

1
12. A frying pan has a radius of 14 centimeters. What is the
circumference of the frying pan? Use 22 for 𝜋.
7

L9.2: Area of Circles

Find the area of each circle to the nearest tenth. Use 3.14 for
.

1. 2.

a) 113 m2 c) 354.9 m2 a) 201 ft2 c) 25.1 ft2


b) 37.7 m2 d) 452.16 m2 b) 50.2 ft2 d) 157.8 ft2
3. 4. 5.

Solve.
6. A vanilla cake has a diameter of 8 inches. A chocolate cake
has a diameter of 10 inches. What is the difference in area
between the top surfaces of the two cakes? Use 3.14 for .

7. What is the difference in area between a circle with a


diameter of
3 meters and a square with a side length of 3 meters? Use
3.14 for .

2
L9.3: Area of Composite Figures

Find the area of each figure. Use 3.14 for .

1. 2. 3.

4. 5. 6.

7. Marci is going to use tile to cover her terrace. How


much tile does
she need?

3
L9.4: Solving Surface Area Problems

Find the surface area of each solid figure.

a. b.

c. d.

Find the surface area of the prism formed by each net.


e.

4
f.

L9.5: Solving Volume Problems

Find the volume of each figure.


1. 2.

3. 4.

5
Using cheese, Theo made the display shown at right. Use the figure to solve:
5.
How many cubic centimeters of cheese are in the completed display?

For a school project, students have to build a pyramid of


cubes.
6. Each cube will be like the one shown at the right.
What are the dimensions of the cube?

length: ________ mm height: ________ mm


width: ________ mm

7. What is the volume of the cube at the right?

The completed pyramid will look like the figure shown at the

right.
8. How many cubes are in the pyramid?
____________________________

9. What is the volume of the entire pyramid?


____________________________

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