EASY
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Calculate the lateral surface area of a square pyramid if the side length of the base is 14 inches and the slant height of the pyramid is 20 inches. [Write the answer in in2]

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Important Questions on Perimeter, Area and Volume

HARD
Let a and b be two positive real numbers such that a+2b 1 . Let A1 and A2 be the areas of circles with radii ab3 and b2 respectively. Then the maximum possible value of A1A2 is
MEDIUM

The perimeter of the base of a square pyramid is 96 cm and its height is 16 cm. Find the lateral surface area.

HARD

Let AB be a sector of a circle with centre O and radius d.AOB=θ<π2 and D be a point on OA such that BD is perpendicular OA. Let E be the mid-point of BD and F be a point on the arc AB such that EF is parallel to OA. Then, the ratio of length of the arc AF to the length of the arc AB is

MEDIUM
Let R be a rectangle, C be a circle, and T be a triangle in the plane. The maximum possible number of points common to the perimeters of R, C and T is
HARD
Suppose the height of a pyramid with a square base is decreased by p% and the lengths of the sides of its square base are increased by p% (where p>0 ). If the volume remains the same, then
MEDIUM
A sector of radius 10.5 cm with the central angle 120o, is folded to form a cone by joining the two bounding radii of the sector. What is the volume (in cm3) of the cone so formed?
EASY

The perimeter of the base of a square pyramid is 96 cm and its height is 16 cm. What is the slant height?

EASY
The height of a right circular cone is 5 cm and its base radius is 12 cm. What is the curved surface area of the cone?
MEDIUM

The figure of a square sheet paper is shown below. Length of one side of the paper sheet is 36 cm and AB=10 cm. The shaded portion is cut out and folded into a square pyramid. If the lateral surface area of the pyramid is k cm2, find k.

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MEDIUM

The given figure is the lateral face of a square pyramid. AB=AC=25 centimeters and BD=DC=15 centimeters. What is the length of its base edge? [Take 2=1.414]

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HARD
The circumference of the base of a conical tent is 66 m. If the height of the tent is 36 m, what is the area (in m2) of the canvas used in making the tent? (Take π=227)
MEDIUM
The volume of a right pyramid is 453 cm3 and its base is an equilateral triangle with side 6 cm. What is the height (in cm) of the pyramid?
MEDIUM
The area of the base of a right circular cone is 400π cm2 and its height is 15 cm. The curved surface area of the cone (in cm2) is: 
EASY
An arc length of 16π units subtends an angle of 240 degrees. Find the radius (in unit) of the circle.
EASY
The volume of a solid right circular cone is 600π cm3, and the diameter of its base is 30 cm. The totalsurface area (in cm2) of the cone is _____.
MEDIUM
The height and radius of the right circular cone is 4 cm and 3 cm respectively. What is the total surface area of the cone?
MEDIUM
The diameter of the base of a right circular cone is 10 cm and its height is 12 cm. What is the total surface area (in cm2) of the one?
MEDIUM

The given figure is the lateral face of a square pyramid. AB=AC=25 centimeters and BD=DC=15 centimeters

Find the lateral surface area of the pyramid.

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MEDIUM

The figure of a square sheet paper is shown below. Length of one side of the paper sheet is 36 cm and AB=10 cm. The shaded portion is cut out and folded into a square pyramid. If the slant height of the pyramid is k cm, find k.

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MEDIUM
The base of a right pyramid is an equilateral triangle with side 8 cm, and the height of the pyramid is 243 cm. The volume (in cm3) of the pyramid is: