Volumes of Objects.Starter:

Match the volume formula to the correct diagrams and answer the

questions on the board.

Aim: Calculate the Volume of Real-Life 3D Shapes.

Outcomes of Lesson.

Confidently find the volume of 3D shapes, using the formulas.

Use our knowledge of volume to solve real life problems.

Calculate volumes of compound 3D shapes.

Fish Tanks!You have just been employed at Pets-R-Us, and unfortunately, your first customer is your maths teacher.I need a fish tank – simple.I do however, have specific requirements.1) I don’t want my water bill to go up, so I only have a set amount of water that I can

afford to have in the tank to fill it up.2) I want it to be big enough to fit in as many tropical fish as possible, at least 15 of

them.3) I want something that looks exciting and not just a boring cuboid shaped one; if the

tank is cuboid shaped – I want it to have something attached to it to make it look nicer.

4) I can afford to spend up to £250, but that includes the fish, the tank, and the accessories for the bottom of the tank.

You can work with another colleague, providing they share their desk with you at work. However, that means you have to split the commission.

What have we done so far?

Outcomes of Lesson.

Confidently find the volume of 3D shapes, using the formulas.

Use our knowledge of volume to solve real life problems.

Calculate volumes of compound 3D shapes.

Who has picked me a good enough fish tank?

I’ve changed my mind...

I’ve decided, I don’t want a fish tank that already exists, I want you to make me one, so that I will have a unique fish tank. I still have all the same requirements, apart from the fact I can have one that holds any amount of water now, due to a really good deal on my water bill. I need to know how much it will hold though, so that I can inform the water board.

A few ideas...

You have on your desks, a price lists of the different materials you could use to design my fish tank. This project needs to be worked on by yourself.

Remember: I need to know;a) The Price of it allb) How many fish it will holdc) How much water will be in it.

Warning! I will be asking a few of you to share your designs with me and the rest of your colleagues.

Have we achieved everything we had planned?

Outcomes of Lesson.

Confidently find the volume of 3D shapes, using the formulas.

Use our knowledge of volume to solve real life problems.

Calculate volumes of compound 3D shapes.

After all that...

So, after all that, and as good as those designs were, I have changed my mind again. I was shopping around, and found a fish tank that I loved, that is simple, elegant and really reflects my personality.. What do you think?

My Requirements.

1) I don’t want my water bill to go up, so I only have a set amount of water that I can afford to have in the tank to fill it up –No more than 50 litres - That is about 50000cm.

2) I want it to be big enough to fit in as many tropical fish as possible, at least 15 of them.

3) I want something that looks exciting and not just a boring cuboid shaped one; if the tank is cuboid shaped – I want it to have something attached to it to make it look nicer.

4) I can afford to spend up to £250, but that includes the fish, the tank, and the accessories for the bottom of the tank.

You can work with another colleague, providing they share their desk with you at work. However, that means you have to split the commission.

3cm

3

Fish Tanks.

The BiOrb.The BiOrb with Light Coldwater Fish Tank is a complete fish tank solution making it an ideal desktop or starter fish tank.GREAT DEAL- It comes with all of this:Halogen Light;Air Pump;Plug Top 12v Transformer;Under Gravel Filter;Filter Cartridge;Bubble Tube;Airstone;Tap Water Treatment;A sample pack of Fish Food.Approximate Dimensions:Diameter = 42cm.

The Nano:

Approximate Dimensions (Product):

54 x 37 x 17cm

Tank: 52 x 20 x 12cm

£45

£90

The BiOrb and Stand.

Funky Twist on the regular BiOrb – (tank is same dimensions as the BiOrb).Comes with all the same accessories as the BiOrb.

£120

Bamboo Glass.Ideal as a starter kit, the Bamboo Glass Cylinder Aquarium Kit comes complete with a funky orange gravel and natural looking plant. The weighted base keeps this eyecatching, cylindrical design stable. In fact all you need to do is add fish and water and you can start to be a responsible fish owner! Made completely from blown glass, visibility is fantastic! Dimensions dia 25cm and Height 35cm

£20

The Hugo Ashinoko Stand and Tank.With its curved shape, it will really attract attention. Dimensions: W43xD30xH72cm (Stand)W43xD30xH39cm (Tank)

BiOrb Flow Aquarium.Comes with:12v LED light.900g of ceramic media.Air stone.Filter Cartridge.12v transformer.Low voltage air pump.Water conditioner and beneficial bacteria liquid.Fish food.Instructions.

Approximate Dimensions:

39 x 38 x 26cm

£160

£45

The BiOrb Life

Featuring a crystal clear acrylic front and back and are finished with seamless gloss coloured acrylic wrap, this tank is easily converted for Tropical Fish with the addition of an aquarium heater, sold separately.The BiOrb Life Aquarium Starter Kit has the unique advanced slim line Intelligent LED Light that provides an automatic 24 hour lighting cycle, including a natural gradual sunrise, sunset and blue moonlight.This sophisticated lighting system provides a healthier environment for the fish and fascinating night-time viewing for the owner.BiOrb Life comes complete with:Filter Cartridge;Water Treatment Sachets;Ceramic Media;Instructions;Fish Food;Air Pump;Low Voltage Transformer;LED Light Unit.Approximate Dimensions (Product): 42 x 40 x 23.5cm.

£50

Using the list at the side of the sheet, write the correct volume formulas underneath the shapes.

Price List.

Name Dimensions Price

Cylinder Connector Diameter = 14cmHeight = 32cm

£10

Spherical Bowl Diameter = 56cm £15

Cuboid Tank 34 x 56 x 23 cm £18

Cube Tank 34 x 34 x 34 cm £18

Tropical Fish n/a £4 (each)

Tropical Fish x 5 *Special Offer* £16 (For 5)

Bridge Accessory 12 x 5 x 7.2 cm £3

Plants for Tank n/a £5

Castle Accessory 10 x 5 x 7 cm £4.50