Triangles
What is the area of a right triangle with a base of 6 m and a height of 11 m?
33 m2
True or False: a parallelogram's area can be found in the same way as a rectangle's
True! (A = base x height)
We often say "cubed" when we have a number to the power of three (ex. 23 = 2 x 2 x 2). Why? How does this impact our units when talking about volume?
height x length x width, units are also cubed
True or False: when a ball is dropped from a tall height, it goes from having no energy to having kinetic energy.
False! (Potential -> Kinetic)
Explain why two right triangles make a rectangle. Does this only apply to a right triangle? Why?
Yes, applies to only right triangles (rectangle has only 90o angles)
Andrew, after watching his daily Cocomelon, decides he wants to paint one of his house’s wall blue. The wall is 5 m by 7 m. How many square meters of paint does he need?
35 m2
Theo is packing chocolates for a party. Half of them are dark chocolate; the others are milk chocolate. He puts them inside a rectangular box that is 20 cm long, 5 cm wide, and 10 cm tall, but ends up forgetting them at home. What is the volume of the box?
1000 cm3
Do gases and liquids have volume like solids? How are they similar/different?
Liquids and gases both change shape, but both do take up space (yes, volume). Gases change volume to fill space!
A triangular garden has a base of 12 m and a height of 7 m. You want to plant flowers across the entire garden, but each flower needs at least 4 m2 of space. How many flowers could you plant?
10 flowers
A purple, rectangular blanket has an area of 16 m2. It weighs 8.2KG. It's length is then quadrupled, and its width is quartered. What is the new area of the rectangle?
16 m2!
Gracie is drinking a cool can of Coca Cola on a Thurday afternoon. She claims that the can is a kind of prism, because it has two identical bases. She is correct? Why?
No, incorrect!
How do noise-cancelling headphones work?
By cancelling out sound waves (equal, opposite)
Catherine, Sophie, and Halynn each eat an identical triangular slice of Hawaiian pizza. The combined area of their three slices is 450 cm². If each slice has a base of 15 cm, what is the height of each slice?
h = 20 cm
Nika is making a fence around a square yard. The area of the yard is 36 m2. How many meters of fencing does she need to go around the yard?
She needs 24 m of fencing (6 x 4)
Kian and Kian are on their way to a Bruno Mars concert. Kian trips over a long rectangular brick that has the same width and height. If the height is 10 cm and the length is 0.3 m, what is the volume of the brick?
3000 cm3
What do you think is different in the eyes of colour-blind people? (i.e. what part of the eye..?)
The cones (colour receptors) in the retina are different (missing, less sensitive, etc.)
You are trying to lay carpet in a room the shape of an equilateral triangle. You measure one of the sides to be 6 m long. The height of the room (floor to ceiling) is 3 m, and the distance from a corner to the middle of the opposite wall is 5 m. How many m2 of carpet do you need for the room?
15 m2
Alyson and Frohar collect money from each group (pay your taxes!). Their total collected stack of money has a volume of 2000 cm3. Each piece of $100 cash has a length of 20 cm, a width of 10 cm, and a height of 0.5 cm. How much money do the instructors have?
$2000
You are working at McDonalds and are in charge of designing a new box for the 20 piece chicken nuggets. Each nugget has a volume of 50 cm3. The box has a square base with a length of 10 cm. What must the height of the box be?
h = 10 cm
Describe what makes the lemon volcanoes work. (what chemical reaction is happening? what makes the bubbles?, etc.)
A neutralization reaction. CO2 gas is made as a byproduct, making fizzy bubbles