L2 Perimeter, Area & Volume

Question 1

For a cylinder with a radius r cm and height h cm.

How do you find the surface area of the cylinder?

Answer 1

Area of circle end: A=πr²
(note: length of rectangle, same as the
circumference of the circle)

area of rectangle = h x 2πr
Total surface area = πr² + πr² + h x 2πr

Question 2

What’s the formula for calculating the volume of a prism?

Answer 2

Volume of a prism = Area at end of shape x length

Question 3

Find the volume of a cylinder that has a radius of 10cm and a height of 12cm.

Answer 3

Volume of cylinder = area at end of prism x length
(End shape of the cylinder is a circle)
Area of circle = 3.14 x 10 x 10 = 314cm²
Volume of Cylinder = area of circle x length
= 314 x 12 = 3768 cm³

Question 4

Formula for Area of a circle is?

Answer 4

A=πr²

Question 5

Formula for Area of a tringle is?

Answer 5

Area = (base x height) ÷2

Question 6

Find the volume of a sphere of radius 5cm given:

Volume of a sphere = 4/3 πr³.
Give your answer to 1dp

Answer 6

Volume = 4/3 x 3.14 x 5³
(4/3 = 4 ÷ 3)	
= 1.3333 x 3.14 x 125
= 523.3333 cm³
= 523.3 (1dp)

Question 7

What is the circumference of a circle with a diameter of 20cm?

Answer 7

C=πd (or C=2πr)
C= 3.14 x 20 =
62.8cm

Question 8

What’s the formula for the volume of a cuboid?

Answer 8

Volume = length x width x height

Question 9

What is the surface area of a cube with one side measuring 3cm?

Answer 9

Area of one side = 3 x 3 = 9cm²
Cube has 6 identical sides
6 x 9 = 54cm²

Question 10

How many square tiles (50cm by 50cm) can fit on a wall measuring 3.5m by 2.5m

Answer 10

3.5m = 350cm and 2.5m = 250cm

350 ÷ 50 =  7 tiles

250 ÷ 50 = 5 tiles

7 rows of 5 tiles = 7x5 = 35 tiles