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A prism is named after the shape of its base.

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Important Questions on Surface Areas and Volumes

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Mathematics>Geometry>Surface Areas and Volumes>Surface Area of a Right Circular Cylinder
Write the material that you used to find out the value of refractive index of a prism. What is the necessity of the graph in this experiment?
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Mathematics>Geometry>Surface Areas and Volumes>Surface Area of a Right Circular Cylinder
The volume of prism is 288 cm3 and height is 24 cm. The base area (in cm2) of the prism is:
MEDIUM
Mathematics>Geometry>Surface Areas and Volumes>Surface Area of a Right Circular Cylinder

How many rectangular surfaces are there in a prism?

EASY
Mathematics>Geometry>Surface Areas and Volumes>Surface Area of a Right Circular Cylinder
Two plane mirrors P & Q are kept at ? with respect to each other. Light falls on P is reflected and then fall on Q and is reflected. The emergent ray is opposite to the direction of incident ray. The ? is equal to :
MEDIUM
Mathematics>Geometry>Surface Areas and Volumes>Surface Area of a Right Circular Cylinder
The base of right prism is a trapezium whose parallel sides are 11 cm and 15 cm and the distance between them is 9 cm. If the volume of the prism is 1731.6 cm3, then the height (in cm) of the prism will be:
MEDIUM
Mathematics>Geometry>Surface Areas and Volumes>Surface Area of a Right Circular Cylinder
Chords AB and CD of a circle intersect externally at P. If AB=8.8 cm, PB=7.2 cm and PD=6.4 cm, then CD is equal to:
MEDIUM
Mathematics>Geometry>Surface Areas and Volumes>Surface Area of a Right Circular Cylinder
Draw a labelled diagram of the refraction of light through a prism.
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Mathematics>Geometry>Surface Areas and Volumes>Surface Area of a Right Circular Cylinder
The area of a square field is 196sq.m. What would be the length of the rope required to fence the field from any three sides?
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Mathematics>Geometry>Surface Areas and Volumes>Surface Area of a Right Circular Cylinder

What is the volume of the sphere whose diameter is 42 cm?

(Take π=227)

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Mathematics>Geometry>Surface Areas and Volumes>Surface Area of a Right Circular Cylinder

Differentiate between a glass slab and a glass prism.

MEDIUM
Mathematics>Geometry>Surface Areas and Volumes>Surface Area of a Right Circular Cylinder
The respective ratio of the curved surface area to the total surface area of cylinder is 4: 5. If the curved surface area of the cylinder is 1232 cm2, what is its height?( in cm) ?
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Mathematics>Geometry>Surface Areas and Volumes>Surface Area of a Right Circular Cylinder
Which of the following solids has least number of faces?
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Mathematics>Geometry>Surface Areas and Volumes>Surface Area of a Right Circular Cylinder
The formula to find curved surface area of a one rupee coin is _____.
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Mathematics>Geometry>Surface Areas and Volumes>Surface Area of a Right Circular Cylinder

Explain the refraction of light with the help of a Glass Prism.

HARD
Mathematics>Geometry>Surface Areas and Volumes>Surface Area of a Right Circular Cylinder
Consider a cuboid all of whose edges are integers and whose base is square. Suppose the sum of all its edges is numerically equal to the sum of the areas of all its six faces. Then the sum of all its edges is.
EASY
Mathematics>Geometry>Surface Areas and Volumes>Surface Area of a Right Circular Cylinder
Find the total surface area (in cm2) of a right circular cylinder of diameter 21 cm and height 10 cm.
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Mathematics>Geometry>Surface Areas and Volumes>Surface Area of a Right Circular Cylinder
The curved surface area and the height of a right circular cylinder are 660 cm2 and 10 cm respectively. Find its diameter (in cm).
MEDIUM
Mathematics>Geometry>Surface Areas and Volumes>Surface Area of a Right Circular Cylinder

A student traces the path of a ray of light through a glass prism as shown in the diagram, but leaves it incomplete and unlabelled. Redraw and complete the diagram. Also, label on it ∠i, ∠e, ∠r and ∠D.

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MEDIUM
Mathematics>Geometry>Surface Areas and Volumes>Surface Area of a Right Circular Cylinder
The base of a right prism is a triangle with sides 20 cm, 21 cm and 29 cm. If its volume is 7560 cm3, then its lateral surface area (in cm2) is:
MEDIUM
Mathematics>Geometry>Surface Areas and Volumes>Surface Area of a Right Circular Cylinder
A right prism has height 18 cm and its base is a triangle with sides 5 cm, 8 cm and 12 cm. What is the lateral surface area (in cm2)?