Gr 10 Math Ch 10: Right Prisms and Cylinders
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Questions and Answers

What shape serves as the base of a triangular prism?

  • Circle
  • Triangle (correct)
  • Square
  • Rectangle

Which formula correctly calculates the volume of a rectangular prism?

  • $ ext{length} imes ext{width} imes ext{height}$ (correct)
  • $ rac{1}{2} imes ext{base} imes ext{height} imes ext{width}$
  • $ ext{length} imes ext{height}$
  • $ ext{length} + ext{width} + ext{height}$

What type of faces does a cylinder have?

  • One square and six rectangles
  • Two triangles and three rectangles
  • Two rectangles and one circle
  • Two circles and one rectangle (correct)

In calculating the surface area of a triangular prism, which of the following pairs of shapes are involved?

<p>Two triangles and three rectangles (D)</p> Signup and view all the answers

Which of the following statements about right prisms is true?

<p>The base and top surfaces are identical in shape and size. (B)</p> Signup and view all the answers

How is the surface area of a rectangular prism calculated?

<p>By adding the areas of all six rectangles together. (D)</p> Signup and view all the answers

What is the volume formula for a cylinder represented as?

<p>$ ext{Volume} = ext{pi} imes r^2 imes h$ (D)</p> Signup and view all the answers

Which shape has all edges of equal length and is classified as a rectangular prism?

<p>Cube (C)</p> Signup and view all the answers

What is the primary reason a prism is classified as a 'right' prism?

<p>The vertical faces are perpendicular to the base. (B)</p> Signup and view all the answers

Which of the following accurately describes the surface area calculation for a cylinder?

<p>It involves the area of two circles and a rectangle representing the side. (D)</p> Signup and view all the answers

In calculating the volume of a triangular prism, which dimensions are essential?

<p>The area of the triangle base and the height of the prism. (B)</p> Signup and view all the answers

What is the volume of a cylinder with a radius of 3 units and a height of 5 units?

<p>$45\pi$ cubic units (D)</p> Signup and view all the answers

What distinguishes a cube from other rectangular prisms?

<p>Cubes are made up of six identical squares. (D)</p> Signup and view all the answers

For calculating the total surface area of a triangular prism, which of the following is necessary?

<p>The areas of both the triangle bases and the rectangles. (D)</p> Signup and view all the answers

Which characteristic correctly differentiates a right prism from a general prism?

<p>The base shapes must be congruent. (B)</p> Signup and view all the answers

What units are typically used to express the volume of right prisms and cylinders?

<p>Cubic units (C)</p> Signup and view all the answers

What must be true for the faces of a right prism?

<p>Faces must be perpendicular to the base and rectangular. (A)</p> Signup and view all the answers

How is the total surface area of a cube determined?

<p>By adding the areas of all six identical squares. (D)</p> Signup and view all the answers

What geometric representation is utilized to explain the concept of surface area in prisms?

<p>An imaginary box that is opened. (D)</p> Signup and view all the answers

What is the primary dependence when calculating the volume of a cylinder?

<p>The base area and its height. (B)</p> Signup and view all the answers

Which of the following shapes is not a base shape for a right prism?

<p>Circle (C)</p> Signup and view all the answers

When calculating the surface area of a cylinder, which geometric shape is not considered?

<p>Square (B)</p> Signup and view all the answers

What is the result of using incorrect dimensions when calculating the volume of a triangular prism?

<p>The volume will be less than the actual value. (D)</p> Signup and view all the answers

Which of the following statements accurately defines the base shape of a rectangular prism?

<p>It is always a rectangle. (B)</p> Signup and view all the answers

What is the relationship between the base area and the height in determining the volume of a right prism?

<p>The volume is obtained by multiplying the base area by the height. (C)</p> Signup and view all the answers

Which of the following statements about the surface area of a cylinder is incorrect?

<p>The surface area is calculated by only considering the circular bases. (A)</p> Signup and view all the answers

For a triangular prism, which of the following dimensions is not relevant in calculating its volume?

<p>The perimeter of the triangle. (A)</p> Signup and view all the answers

When visualizing the surface area of right prisms, which geometric concept is most helpful?

<p>Unfolding the prism into a net to see all the faces clearly. (C)</p> Signup and view all the answers

In which scenario would the volume of a cylinder equal that of a rectangular prism?

<p>When both have the same base area and height. (C)</p> Signup and view all the answers

Which of the following is NOT a factor in the calculation of the surface area of a cube?

<p>The height of the cube. (A)</p> Signup and view all the answers

What describes the lateral surface area of a right prism?

<p>The product of perimeter of the base and the height. (B)</p> Signup and view all the answers

In the volume formula for a triangular prism, what role does the height of the triangle play?

<p>It directly affects the area of the base of the prism. (A)</p> Signup and view all the answers

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