Purchase this Material for $6

You need to sign up or log in to purchase.

Subscribe for All Access
You need to sign up or log in to purchase.

Solutions
12 Videos

A sphere has a radius of 3 cm. What is its volume, to the nearest cubic centimetre?

Buy to View

Q1

What is the area of the figure, to the nearest square centimetre? Show all steps to your solutions.

Buy to View

Q2

A circular swimming pool has a diameter of 7.5 m. It is filled to a depth of 1.4 m. What is the volume of water in the pool, to the nearest litre?

Buy to View

Q3

A conical pile of road salt is 15 m high and has a base diameter of 30 m. How much plastic sheeting is required to cover the pile, to the nearest square metre?

Buy to View

Q4

What is the length of the unknown side of the triangle, to the nearest tenth of a millimetre?

Buy to View

Q5

A candle is in the shape of a square-based pyramid.

a) How much wax is needed to create the candle, to the nearest cubic centimetre?

b) How much plastic wrap, to the nearest tenth of a square centimetre, would you need to completely cover the candle? What assumptions did you make?

Buy to View

Q6

A rectangular cardboard carton is designed to hold six rolls of paper towel that are 28 cm high and 10 cm in diameter. Describe how you would calculate the amount of cardboard required to make this carton.

Buy to View

Q7

Compare the effects of doubling the radius on the volume of a cylinder and a sphere. Justify your answer with numerical examples.

Buy to View

Q8

Calculate the surface area of the cone that just fits inside a cylinder with a base radius of 8cm and a height of 10cm. Round to the nearest square centimetre.

Buy to View

Q9

Buy to View

Q10

Three tennis balls that measure 8.4 cm in diameter are stacked in a cylindrical can.

a) Determine the minimum volume of the can, to the nearest tenth of a cubic centimetre.

b) Calculate the amount of aluminum required to make the can, including the top and bottom. Round to the nearest square centimetre.

c) The can comes with a plastic lid to be used once the can is opened. Find the amount of plastic required for the lid. Round to the nearest square centimetre.

d) Describe any assumptions you have made.

Buy to View

Q11

A rectangular carton holds 12 cylindrical cans that each contain three tennis balls, like the ones described in question 11.

a) How much empty space is in each can of tennis balls, to the nearest tenth of a cubic centimetre?

b) Draw a diagram to show the dimensions of the carton.

c) How much empty space is in the carton and cans once the 12 cans are placed in the carton?

d) What is the minimum amount of cardboard necessary to make this carton?

Buy to View

Q12