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Thursday 11 April 2019

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


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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
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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.