Chapter Review on 3D Geometry
Chapter
Chapter 8
Section
Chapter Review on 3D Geometry
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Solutions 18 Videos

Determine the perimeter and area of the right triangle.

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Q1a

Determine the perimeter and area of the right triangle.

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Q1b

A 6 m extension ladder leans aginst a vertical wall with its base 2 m from the wall. How high up the wall does the top of the ladder reach? Round to the nearest tenth of a metre.

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Q2

Calculate the perimeter and area.

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Q3a

Calculate the perimeter and area.

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Q3b

Calculate the perimeter and area.

The diagram shows a running track at a high school. The track consists of two parallel line segments, with a semicircle at each end. The track is 10 m wide.

a) Tim runs on the inner edge of the track. How far does he run in one lap?

b) Dan runs on the outer edge. How far does he run in one lap?

c) Find the difference between the distances run by Tim and Dan.

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Q4

Calculate the surface area.

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Q5a

Find the surface area of a square based pyramid with hight of 147 m and base width of about 230 m

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Q5b

a) Calculate the volume of the tent.

b) How much nylon is required to make this tent?

c) What assumptions must you make for your calculations in part b)?

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Q6

A cylindrical can holds 500 ml and has a radius of 4 cm. Calculate the height of the can.

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Q7

Find the surface area of the cone with slant height of 13 cm and height of 12 cm.

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Q8

The cone portion of a traffic pylon has a diameter of 20 cm and a vertical height of 35 cm. Find surface area of the cone portion.

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Q9

A conical funnel holds 100 mL. If the height of the funnel is 10 cm, determine its radius, to the nearest tenth of a centimetre.

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Q10

Find the volume of a cone that just fits inside a cylinder with a base radius of 8 cm and a height of 10 cm.

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Q11

A volleyball has a dimeter of 21.8 cm. Find the amount of leather required to cover the volleyball.

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Q12

The diameter of Earth is about 12 800 km.

a) Find the area of the Northern Hemisphere.

b) What assumptions did you make?

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Q13

Find the volume of a soccer ball with a diameter of 22.3 cm, to the nearest tenth of a cubic centimetre.

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Q14

The soccer ball with diameter of 22.3 cm is packaged in cube-shaped box.

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

b) Calculate the amount of empty space.

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Q15