Podcast
Questions and Answers
A circle has a radius of 3.5 cm. Using $\pi = 3.14$, what is its approximate area?
A circle has a radius of 3.5 cm. Using $\pi = 3.14$, what is its approximate area?
- 153.86 $cm^2$
- 38.47 $cm^2$ (correct)
- 21.98 $cm^2$
- 10.99 $cm^2$
A trapezoid has bases of 8 cm and 12 cm and sides of 7 cm and 5 cm. The height is given as 5 cm. What is the perimeter of the trapezoid?
A trapezoid has bases of 8 cm and 12 cm and sides of 7 cm and 5 cm. The height is given as 5 cm. What is the perimeter of the trapezoid?
- 32 cm (correct)
- 52 cm
- 25 cm
- 40 cm
A right cone has a height of 5 cm and a base radius of x cm. The slant height of the cone is 6 cm. Solve for x.
A right cone has a height of 5 cm and a base radius of x cm. The slant height of the cone is 6 cm. Solve for x.
- $\sqrt{11}$ cm (correct)
- $\sqrt{30}$ cm
- 1 cm
- $\sqrt{61}$ cm
A hemisphere has a radius of 10 inches. A right triangle is inscribed within the hemisphere, with one leg along the radius, another leg perpendicular to the radius, and the hypotenuse extending from the center of the flat base to a point on the curved surface. What is the length of the hypotenuse, $x$?
A hemisphere has a radius of 10 inches. A right triangle is inscribed within the hemisphere, with one leg along the radius, another leg perpendicular to the radius, and the hypotenuse extending from the center of the flat base to a point on the curved surface. What is the length of the hypotenuse, $x$?
A triangular prism has a height of 11 km. The triangle bases have sides of 6 km, 8 km, and 10 km. What is the volume of the triangular prism?
A triangular prism has a height of 11 km. The triangle bases have sides of 6 km, 8 km, and 10 km. What is the volume of the triangular prism?
A cylinder has a height of 10 km and a diameter of 14 km. Using $\pi = 3.14$, what is the approximate volume of the cylinder?
A cylinder has a height of 10 km and a diameter of 14 km. Using $\pi = 3.14$, what is the approximate volume of the cylinder?
A sphere has a diameter of 6 ft. Using $\pi = 3.14$, what is its approximate volume?
A sphere has a diameter of 6 ft. Using $\pi = 3.14$, what is its approximate volume?
A right cone has a height of 4 km and a base radius of 4 km. What is the volume of the cone?
A right cone has a height of 4 km and a base radius of 4 km. What is the volume of the cone?
A composite figure consists of a cylinder with a radius of 5 inches and a height of 8 inches, with a hemisphere on top. What is the volume of the composite shape, rounded to the nearest hundredth?
A composite figure consists of a cylinder with a radius of 5 inches and a height of 8 inches, with a hemisphere on top. What is the volume of the composite shape, rounded to the nearest hundredth?
A composite figure is made of a rectangular prism with dimensions 10 ft x 4 ft x 3 ft, with a triangular prism on top. The triangular prism has a height of 4 ft and base of 4 ft. What is the total volume?
A composite figure is made of a rectangular prism with dimensions 10 ft x 4 ft x 3 ft, with a triangular prism on top. The triangular prism has a height of 4 ft and base of 4 ft. What is the total volume?
Flashcards
Circumference
Circumference
The distance around a circle.
Area
Area
The amount of space inside a two-dimensional shape, measured in square units.
Perimeter
Perimeter
The perimeter of a two-dimensional shape is the total distance around its outer boundary.
Volume
Volume
Signup and view all the flashcards
Radius
Radius
Signup and view all the flashcards
Diameter
Diameter
Signup and view all the flashcards
Pi (π)
Pi (π)
Signup and view all the flashcards
Pyramid
Pyramid
Signup and view all the flashcards
Cone
Cone
Signup and view all the flashcards
Cylinder
Cylinder
Signup and view all the flashcards
Study Notes
- These notes relate to pre-algebra, specifically unit 7B, focusing on area and volume calculations.
- π is to be taken as 3.14 unless otherwise stated, and answers should be rounded to the nearest hundredths place.
Area and Perimeter
- For a circle with a radius of 3.5 cm, find the perimeter (circumference) and area.
- For a trapezoid with sides of 7 cm, 8 cm, 8 cm, and 12 cm, and a height of 5 cm, find the perimeter and area.
Solving for x
- Solve for x while leaving answers in simplified radical form.
- Given a cone with a height of x cm, a base radius of 5 cm, and a side length of 6 cm, solve for x.
- Given a hemisphere with a radius of 10 in, solve for the height x.
Volume Calculations
- Find the volume of each figure, using 3.14 for π and rounding answers to the nearest hundredths place.
- A triangular prism with a base triangle having sides 6 km, 8 km, and 10 km, and a prism height of 11 km.
- A cylinder with a radius of 10 km and a height of 14 km.
- A sphere with a radius of 6 ft.
- A cone with a radius of 4 km and a height of 4 km.
Composite Figures
- Find the volume of each composite figure, showing your work, using 3.14 for π, and rounding answers to the nearest hundredths place.
- A composite figure consisting of a cylinder with a radius of 10 in and height of 8 in.
- A composite rectangular prism with a triangular prism on top, with the rectangular prism having dimensions 10 ft x 4 ft x 3 ft, and the triangular prism having a height of 4 ft.
Cone Calculations
- Given a cone with a diameter of 12 inches and a height of 28 inches, find the length of the slant height, leaving the answer in simplified radical form.
Slide and Platform
- A slide of 10 feet in length is attached to a platform.
- The platform has a length and width of 1.5 feet and a height of 5 feet.
- The ladder is 6 feet in length.
- Find the distance between the base of the ladder and the base of the slide, rounding to the nearest tenth.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
