Year 11
Higher

Surface Area: Further problem solving

Year 11
Higher

Surface Area: Further problem solving

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Lesson details

Key learning points

  1. In this lesson, we will further our problem solving with surface area of spheres, cones and pyramids. In these more complicated examples we will, for example, deduce measures of length when provided with the surface area.

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3 Questions

Q1.
Which shape shows a frustum?
An image in a quiz
Correct answer: A
B
Q2.
Work out the volume of the frustum. Round your answer to 1 decimal place.
An image in a quiz
188.5 cm³
Correct answer: 490.1 cm³
636.7 cm³
695.3 cm³
Q3.
Work out the volume of the frustum. Round your answer to 1 decimal place.
An image in a quiz
106.7 cm³
Correct answer: 128 cm³
320 cm³
5120 cm³

3 Questions

Q1.
Work out the slant height of this cone.
An image in a quiz
12 cm
25 cm
Correct answer: 5 cm
7 cm
Q2.
For the cone in question 1, work out the surface area and choose which is the correct answer in terms of pi.
An image in a quiz
Correct answer: A
B
C
D
Q3.
The diagram shows a sphere and a cube.The surface area of the cube is equal to the surface area of the sphere. Work out the radius of the sphere rounded to 1 decimal place.
An image in a quiz
1.7 cm
17.2 cm
295.5 cm
Correct answer: 4.1 cm