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Surface area - MYP Questionbank | RevisionDojo

Practice Surface area with authentic MYP MYP Standard Mathematics exam questions for both SL and HL students. This question bank mirrors Paper 1, 2, 3 structure, covering key topics like core principles, advanced applications, and practical problem-solving. Get instant solutions, detailed explanations, and build exam confidence with questions in the style of MYP examiners.

Type

Difficulty

Question 1

In a right cone, which equation correctly relates the radius $r$ , the vertical height $h$ , and the slant height $s$ ?

Question 2

Which of the following best explains why the vertical height $h$ cannot be used directly as the height of the triangular faces when calculating a pyramid's surface area?

Question 3

If the radius of a sphere is multiplied by a factor of $3$ , by what factor does the total surface area increase?

Question 4

A solid formed by cutting the top off a pyramid using a plane parallel to its base is known as a frustum. Which of the following statements correctly classifies this solid?

Question 5

What is the specific point where all the triangular faces of a pyramid meet known as?

Question 6

A square-based pyramid is modeled with a base perimeter $P$ and a slant height $l$ . Which of the following formulas correctly represents the total lateral surface area (the sum of the areas of its four triangular faces)?

Question 7

In a square-based pyramid with base side length $a$ and vertical height $h$ , a right-angled triangle is used to find the slant height $l$ . What is the length of the base of this internal triangle?

Question 8

In a square-based pyramid with vertical height $h$ and slant height $l$ , which expression represents the distance from the center of the base to the midpoint of one of the base edges?

Question 9

Which of the following 3D solids has a total surface area that can be determined using ONLY the radius $r$ as the required variable?

Question 10

The strategy of calculating the area of every individual face and summing them is a method primarily used for finding the surface area of ________.

Type

Difficulty

Question 1

In a right cone, which equation correctly relates the radius $r$ , the vertical height $h$ , and the slant height $s$ ?

Question 2

Which of the following best explains why the vertical height $h$ cannot be used directly as the height of the triangular faces when calculating a pyramid's surface area?

Question 3

If the radius of a sphere is multiplied by a factor of $3$ , by what factor does the total surface area increase?

Question 4

A solid formed by cutting the top off a pyramid using a plane parallel to its base is known as a frustum. Which of the following statements correctly classifies this solid?

Question 5

What is the specific point where all the triangular faces of a pyramid meet known as?

Question 6

Question 7

In a square-based pyramid with base side length $a$ and vertical height $h$ , a right-angled triangle is used to find the slant height $l$ . What is the length of the base of this internal triangle?

Question 8

In a square-based pyramid with vertical height $h$ and slant height $l$ , which expression represents the distance from the center of the base to the midpoint of one of the base edges?

Question 9

Which of the following 3D solids has a total surface area that can be determined using ONLY the radius $r$ as the required variable?

Question 10

The strategy of calculating the area of every individual face and summing them is a method primarily used for finding the surface area of ________.

Type

Difficulty

Question 1

In a right cone, which equation correctly relates the radius $r$ , the vertical height $h$ , and the slant height $s$ ?

Question 2

Which of the following best explains why the vertical height $h$ cannot be used directly as the height of the triangular faces when calculating a pyramid's surface area?

Question 3

If the radius of a sphere is multiplied by a factor of $3$ , by what factor does the total surface area increase?

Question 4

A solid formed by cutting the top off a pyramid using a plane parallel to its base is known as a frustum. Which of the following statements correctly classifies this solid?

Question 5

What is the specific point where all the triangular faces of a pyramid meet known as?

Question 6

Question 7

In a square-based pyramid with base side length $a$ and vertical height $h$ , a right-angled triangle is used to find the slant height $l$ . What is the length of the base of this internal triangle?

Question 8

In a square-based pyramid with vertical height $h$ and slant height $l$ , which expression represents the distance from the center of the base to the midpoint of one of the base edges?

Question 9

Which of the following 3D solids has a total surface area that can be determined using ONLY the radius $r$ as the required variable?

Question 10

The strategy of calculating the area of every individual face and summing them is a method primarily used for finding the surface area of ________.

Surface area Questionbank