Volume and surface area of 3D shapes

Find the Volume of this triangular prism

• 24 cubic cm

• 72 cubic cm

• 36 cubic cm

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CCSS.HSG.GMD.A.3

a) What is the volume of this ‘ standard sized ‘ box of salt?

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CCSS.HSG.GMD.A.3

b) What is the volume of this ‘ Special offer ’ box of salt which is 20% bigger? It was originally 6 cm by 5 cm by 10 cm.

• 60 cm

• 300 cm³

• 360 cm³

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CCSS.HSG.MG.A.1

c) The ‘ standard sized ’ box of salt can fill up 10 salt pots. How many more salt pots can be filled from the ‘ special offer ’ salt box?

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CCSS.HSA.SSE.A.1

Which of the two cylinders has more volume?

Cylinder A has radius = 7 cm and height = 12 cm

Cylinder B has radius = 12 cm and height = 7 cm

• Cylinder A

• Cylinder B

• Both have same volume

• No comparison as their radius are different.

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CCSS.HSG.GMD.A.3

Ali and Assad each bought an ice cream cone from the school canteen. The paper wrapping around it says that the cone has a diameter of 10 cm and its volume is 320 cm³.

Ali estimated the height of the cone to be 12.2 cm

Assad estimated the height of the same cone as 10 cm.

Whose estimation is correct?

• Ali

• Assad

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CCSS.HSG.GMD.A.3

A metallic conical flask of diameter 10 cm and slant height of 13 cm is melted to form a 9 by 9 square based pyramid. a) Find the height of the cone ?

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CCSS.HSG.GMD.A.3

A metallic conical flask of diameter 10 cm and slant height of 13 cm is melted to form a 9 by 9 square based pyramid. b) Find the volume of the cone?

• 942.8 cm³

• 314.28 cm³

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CCSS.HSG.GMD.A.1

CCSS.HSG.GMD.A.3

A metallic conical flask of diameter 10 cm and slant height of 13 cm is melted to form a 9 by 9 square based pyramid. c) Find the height of the pyramid?

• 11.64 cm

• 3.8 cm

• 14.6 cm

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CCSS.HSG.GMD.A.3

Find the Surface area of the following pyramid.

• 160 cm²

• 220 cm²

• 340 cm²

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CCSS.HSG.GMD.A.1