Introducing 

Prezi AI.

Your new presentation assistant.

Refine, enhance, and tailor your content, source relevant images, and edit visuals quicker than ever before.

Loading…
Transcript

Designing a Juice Container

By: Khubi Shah

Semi-Final Answers

Here are the dimensions Hoshi and Tran can use for the triangular base (base and height).

Final Answer

Answering the Question

The most realistic answer would be 11 by 20.

  • 1 x 220
  • 2 x 110
  • 4 x 55
  • 5 x 44
  • 10 x 22
  • 11 x 20

B.

A.

10

100

100cm3

1000cm3

=

1cm3=1mL

1000cm3=1000mL/1L

1000+100=1100cm3

Now we know that the total volume of the container should be 1100cm3.

Now we know that the least possible volume for the container is 1000cm3

D.

C.

Now we know that the triangular base must be 110cm3. We now have to find what can the dimensions of the triangular base be.

I Know Statements

V= 1/2 x a x c x h

V= 1/2 x a x c x 10

1100= 1/2 x a x c x 10

110= 1/2 x a x c

Base and Height Possibilities

Making sure you have all the divisors

A= b x h

2

110= b x h

2

22o= b x h

220= 2²·5·11

(2+1)(1+1)(1+1)

=3x2x2

=12

  • 1 x 220
  • 2 x 110
  • 4 x 55
  • 5 x 44
  • 10 x 22
  • 11 x 20

Add one to each exponent and multiply them together.

12 factors

This is to make sure you have all the possible lengths for the base and height of the triangle.

a= height of triangle

c= base of triangle

h= height of prism

The area of the triangular base must be 110cm3.

I know that to find the volume of a triangular prism, you must multiply the area of a triangular base with the height of the prism.

I know that to find the area of a triangle you must do base times height divide by two.

I know that I have to leave 10% of the container empty,

Rewriting the Question

What could be the dimensions Hoshi and Tran can use for a triangular prism to hold 1L of juice?

Key Words

  • 1cm3 = 1mL
  • Triangle
  • Base
  • Triangular prism
  • Prism
  • Height
  • Area
  • Volume
Learn more about creating dynamic, engaging presentations with Prezi