EASY
Earn 100

The bases of a frustum of a square pyramid are of lengths 10 units and 6 units. Its slant height is 10 units. Find the total surface area of frustum of the pyramid

Important Questions on Surface Areas and Volumes

MEDIUM
The slant height of the frustum of a cone is 4 cm and the perimeter of its circular bases are 18 cm and 6 cm respectively. Find the curved surface area of the frustum.
EASY
If x4+y4=706 and  xy=15, find the value of x2+y2+2.
MEDIUM
A pedestal is constructed in the form of the frustum of a pyramid, the sides of the square ends of the frustum being 360 cm. and 160 cm and its slant height 260 cm. Find volume including area of the top and the cost of construction @50 per cubic metre.
MEDIUM
A frustum of a pyramid has rectangular ends, the sides of the base being 10 m and 40 m. If the area of the top face is 900 sq. m.and the height of the frustum is 50 m; find its volume.
MEDIUM
Calculate volume of pillar shape of a regular tetrahedral truncated pyramid, if his square have sides a=19 units, b=27 units and height is h=48 units.
MEDIUM

A hole is to be dug in the form of a frustum of a pyramid. The top is to be a square of side 6.40 m and the bottom a square of 3.60 m. The depth of the hole is to be 4 m. Calculate the volume of the earth to be removed.

MEDIUM
Find the altitude of a frustum of a pyramid whose volume is 148 ft3.The base areas of the frustum are 9 ft2 and 36 ft2.
MEDIUM

The capacity of the frustum of the pyramid and capacity of the conical bucket is same. If the radii of the circular ends of a conical bucket which is 51 cm high are 18 cm and 8 cm, then the capacity of the frustum of pyramid is_____ cm3 (Use π=227).

EASY

Write the quadrants in which the following points lie:

-4,7

MEDIUM
Find the total surface area of the frustum of a right circular cone of height 20 in, large base radius to be 25 in, and slant height to be 29 in. Express the answer in terms of π.
MEDIUM
Find the lateral surface area of frustum of a square pyramid. The sides of the base and top are 6 m and 4 m respectively and the slant height is 8 m
MEDIUM
The 36 cm high teapot has the shape of a truncated pyramid with the length of the edge of the lower square base 50 cm and with the edges of the rectangular base25 cm and 16 cm. How many liters of water will fit in the teapot?
MEDIUM

A frustum of a pyramid has rectangular ends, and the sides of the base are 25 dm and 36 dm. If the area of the top face is 784 sq.dm and the height of the frustum is 60 dm, find its volume.

 

MEDIUM
The frustum of a regular triangular pyramid has equilateral triangles for its bases. The lower and upper base edges are9 m and 3 m, respectively. If the volume is 118.2 cu.m., how far apart (m) are the base?
MEDIUM

The frustum of a regular triangular pyramid has equilateral triangle for its bases. The lower and upper base edges are9 m and 3 m respectively. If the volume is 118.2 cu. m, how far apart (m) are the bases? 

MEDIUM
A monument has the shape of a frustum of a right pyramid whose lower and upper plane faces are squares of sides 16 m and 9 m respectively. If the height of the monument is 21 m, find its volume. (Answer in cubic metre).
 
EASY
Find the volume of a frustum of a regular pyramid whose area of bases are 9 cm2, 10 cm2 respectively and height is 9 cm.
EASY
The bases of a frustum of a square pyramid are of lengths 10 units and 7 units. Its slant height is 12 units. Find the total surface area of frustum of the pyramid
EASY

A triangular pyramid which has all the faces as equilateral triangle is _______.