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Solutions
18 Videos

Determine the perimeter and area of each right triangle. Round answers to the nearest tenth of a unit or square unit.

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Q1a

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Q1b

A 8-m ladder is leaning against a vertical wall. The top of the ladder is 7 m up the wall. How far from the wall is the base of the ladder? Round to the nearest tenth of a metre.

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Q2

Calculate the perimeter and area of the figure. Round answers to the nearest tenth of a unit or square unit, if necessary.

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Q3

Calculate the perimeter and area of the figure. Round answers to the nearest tenth of a unit or square unit.

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Q4

The diagram shows the track for a bicycle race. The track consists of two parallel line segments with a semicircle at each end. The track is 10 m wide.

a) Isabel bikes on the inner edge of the track. How far does he bike in one lap, to the nearest tenth of a metre?

b) Charlie bikes on the outer edge. How far does he bike in one lap, to the nearest tenth of a metre?

c) Find the difference between the distances biked by Isabel and Charlie.

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Q5

Calculate the surface area of each object. Round answers to the nearest square unit.

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Q6a

Calculate the surface area of each object. Round answers to the nearest square unit.

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Q6b

a) Calculate the volume of the greenhouse.

b) How much glass is required to make this greenhouse?

c) Describe any assumptions you made in part b).

d) How reasonable is your answer in part b)?

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Q7

A cylindrical paint can holds 3.73 L and has a radius of 8.4 cm. Calculate the height of the can, to the nearest centimetre.

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Q8

Calculate the surface area of a cone with a slant height of 15 cm and a height of 13 cm. Round to the nearest square centimetre.

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Q9

The cone portion of a pylon has a diameter of 26 cm and a vertical height of 38 cm. Calculate the surface area of the cone portion of the pylon, to the nearest square centimetre. Assume that the bottom of the cone is complete.

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Q10

A conical flower vase holds 120 mL. If the height of the vase is 15 cm, determine its radius, to the nearest tenth of a centimetre.

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Q11

Calculate the volume of a cone that just fits inside a cylinder with a base radius of 6 cm and a height of 11 cm. Round to the nearest cubic centimetre. How does the volume of the cone compare to the volume of the cylinder?

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Q12

A ball has a diameter of 23.4 cm. Calculate the amount of material required to cover the ball, to the nearest tenth of a square centimetre.

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Q13

The diameter of Mars is about 6 794 km.

a) Calculate the area of the Northern Hemisphere of Mars, to the nearest square kilometre.

b) What assumptions have you made?

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Q14

Calculate the volume of a tennis ball with a diameter of 8 cm, to the nearest tenth of a cubic centimetre.

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Q15

The tennis ball in question 14 is packaged so that it just fits inside a cube shaped box.

a) Estimate the amount of empty space inside the box.

b) Calculate the amount of empty space.

c) How close was your estimate?

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Q16