Inside Maths: Enlargement

The video tutorial explores the concept of enlargement in mathematics, using relatable examples such as cakes, photos, and logos. It explains how to calculate scale factors for length, area, and volume, and demonstrates these concepts through practical exercises. The tutorial also highlights common mistakes and provides solutions, ensuring a comprehensive understanding of enlargement.

Why is a cake that is twice the size in dimensions actually eight times larger in volume?

• Because the scale factor for volume is doubled

• Because the scale factor for volume is squared

• Because the scale factor for volume is cubed

• Because the scale factor for volume is halved

What is the scale factor if a photo is enlarged from 9 cm to 36 cm in height?

• 4

• 5

• 2

• 3

How do you maintain the proportions of a photo when enlarging it?

• By using a different scale factor for width

• By enlarging the width twice as much as the height

• By multiplying both height and width by the same scale factor

• By only enlarging the height

What is the scale factor needed to enlarge a T-shirt logo three times its original size?

• 4

• 1

• 2

• 3

When enlarging a shape using coordinates, what is the first step?

• Change the shape's color

• Double the size of the shape

• Identify the center of enlargement

• Calculate the area of the shape

If a triangle is enlarged by a scale factor of 2, how do you find the new coordinates of a vertex?

• Divide each coordinate by 2

• Subtract 2 from each coordinate

• Multiply each coordinate by 2

• Add 2 to each coordinate

Why did Dave run out of paint when enlarging the T-shirt design?

• He used a smaller brush

• He painted more T-shirts than planned

• He underestimated the scale factor for area

• He used the wrong type of paint

How do you calculate the scale factor for area if you know the scale factor for length?

• Divide the length scale factor by 2

• Multiply the length scale factor by 2

• Cube the length scale factor

• Square the length scale factor

What is the relationship between scale factors for length and volume?

• Volume scale factor is the length scale factor doubled

• Volume scale factor is the length scale factor halved

• Volume scale factor is the length scale factor cubed

• Volume scale factor is the length scale factor squared

If a design is enlarged by a scale factor of 3, how much more paint is needed compared to the original?

• 12 times more

• 3 times more

• 6 times more

• 9 times more