Mathematics for IGCSE & O level - Mensuration (Section 14)
1
The formula to calculate the area of a triangle using the sine rule is...?
2
The volume of a cylinder is 400cm³. Its radius is 5.5cm. Calculate its height.
3
Which of the following equations can be used to find the area of a rectangle?
4
A circular pizza has a diameter of 30cm. What is its approximate area? (Use π ≈ 3.14)
5
What is the formula to calculate the volume of the cone?
6
If the radius of a sphere is increased by a factor of 3, by what factor does the volume increase?
7
A rectangular pond has 4m by 8m. Find the area.
8
What do you need to know to calculate the area of a square?
9
What is the formula for calculating the circumference of a circle, given its radius (r)?
10
What is the surface area of a sphere with radius r?
11
What is the area of a rectangle with length 9cm and width 4cm?
12
A room's area is 120 square feet. If the length is 12 feet, what is the width?
13
What is the area of a circle with radius 'r'?
14
What are the steps to follow when approaching a complex mensuration problem?
Answer(A)
Read the question, draw a diagram, identify the known values, and apply formulas.
15
A can of paint covers 10m². How many cans are needed to paint a wall that is 5m high and 8m wide?
16
If the cross-sectional area of a prism is 15 cm² and its length is 7 cm, what is its volume?
17
Which shapes can be divided into two congruent triangles to find the area?
18
How is the height of the cone measured?
Answer(A)
The distance between the tip of the cone and the center of its base.
19
What type of shape is the base of a cone?
20
What is the relationship between the radius and the diameter of a sphere?
21
If a rectangle has an area of 40 cm² and a length of 8 cm, what is its width?
22
Calculate the volume of a prism. 10cm long with each of these cross sections: Rhombus with base 4cm, height 4cm
