Geometric Boundaries Worksheet
This worksheet focuses on understanding and applying concepts related to geometric boundaries, including perimeter, area, and volume of various shapes.
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Geometric Boundaries
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Read each question carefully and provide your answers in the space provided. Show all your work for full credit.
1. What is the perimeter of a rectangle with a length of 12 cm and a width of 7 cm?
19 cm
38 cm
84 cm²
None of the above
2. Which of the following formulas is used to calculate the volume of a cylinder?
V = lwh
V = πr²h
V = (1/3)Bh
V = πd
3. The of a two-dimensional shape is the total distance around its boundary.
4. The amount of space a three-dimensional object occupies is called its .
5. Calculate the area of the triangle shown below.
6. A spherical balloon has a radius of 6 cm. What is its volume? (Use π ≈ 3.14)
7. The unit for area is always expressed in cubic units.
True
False
8. A square is a type of rectangle.
True
False
Match each geometric term with its definition.
9. Perimeter
a. The amount of surface a two-dimensional shape covers.
10. Area
b. The distance around the outside of a two-dimensional shape.
11. Volume
c. The amount of space a three-dimensional object occupies.
12. A rectangular prism has a length of 8 cm, a width of 5 cm, and a height of 3 cm. Draw the prism and label its dimensions. Then, calculate its surface area.