Geometry: Triangular Prism Surface Area
41 Questions
1 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What is the total surface area of the triangular prism with base 14 cm, height 4 cm, and length 7 cm?

  • 168 cm²
  • 224 cm²
  • 196 cm²
  • 266 cm² (correct)

    • What formula is used to find the area of the triangular base of a prism?

  • 1/2 * Base * Height (correct)
  • Base * Height
  • Base + Height
  • Base * Height / 2

    • For a triangular prism with a base of 5 cm and a height of 4 cm, what is the area of one triangular face?

  • 12 cm²
  • 20 cm²
  • 10 cm² (correct)
  • 14 cm²

    • How is the total surface area of a prism calculated?

    <p>Sum all the surface areas of the faces</p> Signup and view all the answers

    What is the area of the two triangular bases for a prism with a base of 6 cm and height of 16 cm?

    <p>96 cm²</p> Signup and view all the answers

    What is the total surface area formula for a triangular prism?

    <p>2 * area of base + lateral area</p> Signup and view all the answers

    In calculating the surface area of a triangular prism, which dimensions are crucial?

    <p>Base, height, and length</p> Signup and view all the answers

    What is the surface area if the dimensions of a triangular prism are base: 3 m, height: 4 m, and length: 5 m?

    <p>36 m²</p> Signup and view all the answers

    What is the primary characteristic of a prism?

    <p>Its bases are congruent shapes.</p> Signup and view all the answers

    Which is true about the net of a square-based pyramid?

    <p>The triangular faces can overlap when folded.</p> Signup and view all the answers

    Identify a shape that has six congruent triangles and a hexagonal base.

    <p>Hexagonal pyramid</p> Signup and view all the answers

    What should be done if a given net does not represent a solid shape?

    <p>Ensure all faces connect appropriately.</p> Signup and view all the answers

    Which combination of shapes describes two congruent squares and four congruent rectangles?

    <p>Rectangular prism</p> Signup and view all the answers

    What is essential for a net to represent a cylinder?

    <p>It should include circular bases and a rectangular face.</p> Signup and view all the answers

    Which of the following is NOT a characteristic of a pyramid?

    <p>It can have multiple bases.</p> Signup and view all the answers

    To derive the circumference of a circle with a diameter of 12 cm, which formula is used?

    <p>C = πd</p> Signup and view all the answers

    What is the formula for calculating the volume of a triangular prism?

    <p>Area of base * Length</p> Signup and view all the answers

    If the base area of a triangular prism is 5 m² and the length is 12 m, what is its volume?

    <p>60 m³</p> Signup and view all the answers

    What is the area of a triangle with a base of 7 cm and a height of 4 cm?

    <p>14 cm²</p> Signup and view all the answers

    For a prism with a base area of 14 cm² and a length of 20 cm, what would be the volume?

    <p>280 cm³</p> Signup and view all the answers

    How do you calculate the area of a triangular base given a base of 15 cm and a height of 20 cm?

    <p>1/2 * 15 cm * 20 cm</p> Signup and view all the answers

    If a triangular prism has a volume of 27.8 cm³ and a length of 5 cm, what is the area of its base?

    <p>5.56 cm²</p> Signup and view all the answers

    For a triangular prism with a base of 6 cm and a height of 10 cm and a depth of 9 cm, what is its volume?

    <p>120 cm³</p> Signup and view all the answers

    If a prism holds 1200 mL of water, what is its corresponding volume in cubic centimeters?

    <p>1200 cm³</p> Signup and view all the answers

    What is the total surface area of a cylinder with a radius of 6 cm and a height of 5 cm, rounded to the nearest square centimeter?

    <p>415 cm²</p> Signup and view all the answers

    How do you calculate the area of the rectangle for a cylinder?

    <p>2πrh</p> Signup and view all the answers

    If a cylinder has a diameter of 8 cm, what is its radius?

    <p>4 cm</p> Signup and view all the answers

    What is the area of one base of a cylinder with a radius of 4 cm?

    <p>$50.27 cm²$</p> Signup and view all the answers

    What is the formula used to determine the total surface area of a closed cylinder?

    <p>2πr² + 2πrh</p> Signup and view all the answers

    Which calculation is incorrect for a cylinder with a radius of 8 cm and height of 12 cm?

    <p>Perimeter of the base: $16 cm$</p> Signup and view all the answers

    What would be the total surface area of a cylinder with a diameter of 9 m and height of 6.8 m after computing all dimensions?

    <p>189 m²</p> Signup and view all the answers

    In an open cylinder, how is the surface area calculated differently compared to a closed cylinder?

    <p>Only lateral area is calculated.</p> Signup and view all the answers

    What is the radius of a cylinder with a diameter of 15 m?

    <p>7.5 m</p> Signup and view all the answers

    What is the formula to calculate the area of the circular base of a cylinder?

    <p>$πr^2$</p> Signup and view all the answers

    How do you calculate the volume of a cylinder?

    <p>Base area × height</p> Signup and view all the answers

    What is the circumference of a cylinder with a radius of 6 cm?

    <p>$12π$ cm</p> Signup and view all the answers

    What is the surface area of the curved portion of a roller with a diameter of 1.8 m and height of 2.6 m?

    <p>$4.56π$ m²</p> Signup and view all the answers

    If the total surface area of a cylinder is 377 cm² and its height is 10 cm, what would be its circumference?

    <p>37.7 cm</p> Signup and view all the answers

    What is the formula for calculating the volume of a cylinder given the radius and height?

    <p>$πr^2h$</p> Signup and view all the answers

    For a cylinder with a base area of 423 cm² and height of 9 cm, what is the approximate volume?

    <p>3507 cm³</p> Signup and view all the answers

    Which of these options are correct? (Select all that apply)

    <p>Option 3</p> Signup and view all the answers

    Study Notes

    Module 4: Prisms and Cylinders

    • Students are asked to record the number of people in a circle and the number of handshakes.
    • A table is provided to document the results
    • A pattern should be described for the number of handshakes in relation to the number of people.
    • Students are given a word search puzzle with words related to shapes, volume, and geometry.
    • Includes terms such as angle, area, base, capacity, cube, decagon, four, hexagon, meter, prism, pyramid, rectangle, square, two.

    Area of Two Dimensional Figures

    • Given shapes (triangles) with base (b) and height (h) values.
    • Formula to calculate the area of triangle is 1/2 × base × height, or A = ½bh.
    • Formula for the Area of a circle A = πr²

    Circle Calculations

    • Calculations related to the area of circle.
    • Formula: Area = π × radius².
    • Calculations related to Circumference of a circle.
    • Formula: Circumference = π × diameter

    Surface Area of Prisms and Cylinders, Volume of Prisms

    • Techniques for calculating the surface area and volume of prisms and cylinders are described
    • Includes examples of calculating the surface area of rectangular prisms and triangular prisms with different dimensions and related calculations.
    • Examples of volume calculations for rectangular and triangular prisms.

    More on Surface Area and Volume

    • More practise problems for calculating the surface area and volume of prisms and cylinders.
    • Included are practise questions with multiple shapes and dimensions
    • Information for calculating surface and volumes of shapes are presented.

    Studying That Suits You

    Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

    Quiz Team

    Related Documents

    Module 4: Prisms and Cylinders PDF

    Description

    Test your understanding of the surface area calculations for triangular prisms. This quiz covers essential formulas and concepts related to triangular bases and overall surface area. Perfect for students diving into geometry and prism properties.

    More Like This

    Use Quizgecko on...
    Browser
    Open
    Browser
    Browser