EASY
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Calculate the volume of a rectangular pyramid with length 8 cm, width 5 cm and vertical height 17 cm.        [Enter the value excluding units and up to three significant figures]

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Important Questions on Surface Areas and Volume

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?
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
EASY

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

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 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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MEDIUM

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

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:
HARD
The volume of a cube is 1728 cubic cm. If the volume of square pyramid of the same height is k cm3, find the value of k.
EASY
If the base of a right pyramid is triangle of sides 21 cm, 20 cm13 cm and its altitude is 30 cm, then volume (in cm3) will be?
MEDIUM

The lateral area of a square pyramid is 48 m2 and side of base is 6 m, then its slant height is _____m.

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MEDIUM
If the volume of a pyramid whose square base is 10 cm and height 8 cm is k3 cm3, find the value of k.
MEDIUM

A pyramid on a base is a regular hexagon of side 2a cm. If every slant edge of this pyramid is of length 5a2 cm, then the volume of this pyramid is:

EASY
If height of the triangular pyramid is 10 cm and Volume is 400 cm3. Base area of triangular pyramid is  
HARD
A hexagonal pyramid is 20 m high. Side of the base is 5 m. The volume of the pyramid is
MEDIUM
The surface area of the square pyramid which has the base length of 8 cm and side 5 cm.
MEDIUM
The base of a pyramid of volume 483 cm3 is equilateral. If the height of the pyramid is 4 cm, then each side of the equilateral triangle at the base is:
MEDIUM
If the base of a right pyramid is a triangle of sides 21 cm, 20 cm, 13 cm and its altitude is 30 cm, then its volume (in cm3 ) will be-
EASY
The volume of a pyramid of base area 25 cm2 and height 12 cm is: