Measurement Task: Cake Competition

Cuboid

Length = 46 cm

Width = 32 cm

Height = 18 cm

Cylinder

Height = 20 cm

Diameter = 18 cm

Radius is equal to :  9 cm

_____________________________________________________________

Finding the volume

Cuboid/Rectangle

Formula = Length x Width x Height

46 x 32 x 18 = 26,496 cm3

Cylinder

Formula = π r2 h

Π x 92 x 20 = 5089.3 cm3 (rounding to 1 decimal point)

26,496 + 5089.3 = 31585.3 cm3 is the volume of the cake

______________________________________________________________

Finding the surface area

Cuboid

Top = 46 x 32 = 1472 cm2

Bottom = 46 x 32 = 14722

Left = 32 x 18 = 576 cm2

Right = 32 x 18 = 576 cm2

Front = 18 x 46 = 828 cm2

Back = 18 x 46 = 828 cm2

1472 + 1472 + 576 + 576 + 828 + 828 = 5,752 cm2

Cylinder

Formula = 2 Π r2 + 2 Π r H

2 x Π x 92 + 2 x Π x 9 x 20 =

508.9 + 1130.9 = 1639.8 cm2(rounding to 1 decimal point)

5752 + 1639.8 = 7391.8 cm2 is the surface area of the cake

Today in maths we used the site Tinkercad to create and design any

3D shape or block. We could use any measurements of our own and

had to find the volume and surface area of the shape. As you can see

above, I've written the volume and surface area for the shape I created.