Gr 10 Math Ch 10: Right Prisms and Cylinders

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?

Two triangles and three rectangles Signup and view all the answers

Which of the following statements about right prisms is true?

The base and top surfaces are identical in shape and size. Signup and view all the answers

How is the surface area of a rectangular prism calculated?

By adding the areas of all six rectangles together. Signup and view all the answers

What is the volume formula for a cylinder represented as?

$ ext{Volume} = ext{pi} imes r^2 imes h$ Signup and view all the answers

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

Cube Signup and view all the answers

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

The vertical faces are perpendicular to the base. Signup and view all the answers

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

It involves the area of two circles and a rectangle representing the side. Signup and view all the answers

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

The area of the triangle base and the height of the prism. 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?

$45\pi$ cubic units Signup and view all the answers

What distinguishes a cube from other rectangular prisms?

Cubes are made up of six identical squares. Signup and view all the answers

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

The areas of both the triangle bases and the rectangles. Signup and view all the answers

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

The base shapes must be congruent. Signup and view all the answers

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

Cubic units Signup and view all the answers

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

Faces must be perpendicular to the base and rectangular. Signup and view all the answers

How is the total surface area of a cube determined?

By adding the areas of all six identical squares. Signup and view all the answers

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

An imaginary box that is opened. Signup and view all the answers

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

The base area and its height. Signup and view all the answers

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

Circle Signup and view all the answers

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

Square Signup and view all the answers

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

The volume will be less than the actual value. Signup and view all the answers

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

It is always a rectangle. 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?

The volume is obtained by multiplying the base area by the height. Signup and view all the answers

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

The surface area is calculated by only considering the circular bases. Signup and view all the answers

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

The perimeter of the triangle. Signup and view all the answers

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

Unfolding the prism into a net to see all the faces clearly. Signup and view all the answers

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

When both have the same base area and height. Signup and view all the answers

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

The height of the cube. Signup and view all the answers

What describes the lateral surface area of a right prism?

The product of perimeter of the base and the height. Signup and view all the answers

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

It directly affects the area of the base of the prism. Signup and view all the answers