Frustum of a Pyramid

IMPORTANT

Frustum of a Pyramid: Overview

This topic covers concepts, such as, Frustum of a Pyramid, Lateral Surface Area of the Frustum of a Pyramid, Total Surface Area of the Frustum of a Pyramid & Volume of the Frustum of a Pyramid etc.

Important Questions on Frustum of a Pyramid

EASY
IMPORTANT

Total surface area frustum of a square pyramid if the bases of a frustum of a square pyramid are of lengths 10 cm and 7 cm.Its slant height is 12 cm

EASY
IMPORTANT

Lateral surface area frustum of a square pyramid if  the bases of a frustum of a square pyramid are of lengths 10 cm and 7 cm.Its slant height is 12 cm

MEDIUM
IMPORTANT

The frustum of a pyramid is also known as a _____ pyramid.

MEDIUM
IMPORTANT

A frustum of a pyramid is a _____ enclosed by the lateral surface and the base of the pyramid.

HARD
IMPORTANT

A pipe is filling water in a frustum of a square pyramid with the speed of 100077 m/s, lengths of bases of frustum are 9 dm and 6 dm and height of frustum is 12 dm. Calculate the time by which frustum can be filled if radius of pipe is 7 mm?

HARD
IMPORTANT

The height of the frustum of a rectangular pyramid is 15 cm and the dimensions of both the bases are 12 cm×16cm and 8 cm×12 cm. Calculate the volume of the frustum. [put 2=1.4]

HARD
IMPORTANT

Find the volume of frustum of a square pyramid if lenghts of its bases are 16 cm and 25 cm and its height is 15 cm.

HARD
IMPORTANT

A bucket is in the shape of a frustum, radius of both faces of are 14 cm and 7 cm. Calculate volume of the water can be kept in the bucket if height of bucket is 18 cm?

HARD
IMPORTANT

Calculate the volume of a frustum ofa right circular cone if the area of its base and upper surface is 64 cm2 and49 cm2 respectively. and its height is 12 cm.

HARD
IMPORTANT

A paper folded in the shape of a hollow frustum of right circular cone, the radius of its base and top is 21 cm and 14 cm respectively. Find the area of paper if slant height of it is 10 cm?

HARD
IMPORTANT

Base and upper surface of a frustum of a pyramid is an equilateral triangle, Find the lateral surface area of it if side of base, side of upper surface and slant height is 10 cm, 6cm and 7 cm respectively?

HARD
IMPORTANT

Area of base of a square base frustum of a pyramid is 361 cm2, slant height is 11 cm and upper surface of the frustum is also a square of side length 12 cm. Find the lateral surface area of the frustum?

HARD
IMPORTANT

Slant height of a frustum of a right circular cone is 10 cm and area of its base and area of its upper circular surface is 616 cm2 and 154 cm2respectively. Find the lateral surface are of the frustum.

HARD
IMPORTANT

Find the lateral surface area of a right circular frustum of a cone, if the perimeter of its is 30π cm and the diameter of the circular upper surface is 5 cm and slant height is 10 cm?

HARD
IMPORTANT

Riya made a sand castle in a form of a frustum such that the base radius is 17 cm and the top radius is 12 cm. Find the total surface area of the visible portion of the sand castle if the height of the sand castle is 12 cm :

HARD
IMPORTANT

A frustum has a total surface area of 1298 cm2 . If the ratio of radius of base and top surface is 2 : 1 , and the slant height of the frustum is 8 cm, then find the product of the radius of base and top surface of the given frustum :

EASY
IMPORTANT

A frustum of a pyramid has rectangular ends, the sides of the base being 8 m and 10 m. If the area of the top face is 90 sq. m. and the height of the frustum is 40 m; find its volume.

EASY
IMPORTANT

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

EASY
IMPORTANT

The bases of a frustum of a square pyramid are of lengths 12 units and 10 units. Its slant height is 12 units. Find the total surface area of frustum of the pyramid

EASY
IMPORTANT

What is the lateral surface area of the frustum of regular pyramid with the perimeters of top and bottom bases as 60 cm and 30 cm respectively. Slant height is 15 cm.