Volume and surface area of 3D shapes

Find the Volume of this triangular prism

• 24 cubic cm

• 72 cubic cm

• 36 cubic cm

Tags

CCSS.7.G.B.6

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

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

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

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

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?

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

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.

Tags

CCSS.8.G.C.9

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

Tags

CCSS.8.G.C.9

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 ?

Tags

CCSS.8.G.C.9

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

Tags

CCSS.8.G.C.9

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

Tags

CCSS.HSG.GMD.A.3

Find the Surface area of the following pyramid.

• 160 cm²

• 220 cm²

• 340 cm²

Tags

CCSS.7.G.B.6