Home
Class 10
MATHS
A solid cube has a square hole and a cir...


A solid cube has a square hole and a circlar hole cut along two faces of the cube. The dimensions are as shown in the figure. Calculate the volume of the remaining solid after the holes have been cut.

Text Solution

Verified by Experts

The correct Answer is:
`5497.6cm^(3)`
Promotional Banner

Topper's Solved these Questions

  • SURFACE AREAS AND VOLUMES

    ZEN PUBLICATION|Exercise ZEE ADDITIONAL QUESTIONS - LONG ANSWER [LA] TYPE-QUESTIONS|18 Videos

  • STATISTICS

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS IIT FOUNDATION|5 Videos

  • TRIANGLES

    ZEN PUBLICATION|Exercise ZEE ADDITIONAL QUESTIONS - LONG ANSWER TYPE QUESTIONS|10 Videos

Similar Questions

Explore conceptually related problems

A solid cube of side 12 cm is cut into eight cubes of equal volume. What will be the side of the new cube? Also find the ratio between their surface areas.

A cube is a three-dimensional figure as shown in Fig. It has six faces and all of them are identical squares. The length of an edge of the cube is given by l. Find the formula for the total length of the edges of a cube.

To conduct Sports Day activities, in your rectangu- lar shaped school ground ABCID, lines have been drawn with chalk powder at a distance of 1m each. 100 flower pots have been placed at a distance of 1 m from each other along AD, as shown in the following figure. Niharika runs 1/4th the distance AD on the 2^(nd) line and posts a green tlag. Preet runs 1/5th the distance AD on the eighth line and posts a red tlag What is the distance between both the flags? If Rashmi has to post a blue flag exactly halfway between the line segment joining the two flags, where should she post her flag?

A cube having all of its sides painted is cut to be two horizontal, two vertical and other two planes, so as to form 27 cubes all having the same dimensions of these cubes. A cube is selected at random. If P_3 is the probability that the cube selected has none of its sides painted, then the value of 27P_3 is:

A hemispherical depression is cut out from one face of a cubical wooden block such that the diameter l of the hemisphere is equal to the edge of the cube. Determine the surface area of the remaining solid.

A cube having all of its sides painted is cut by two horizontal, two vertical, and other two planes so as to form 27 cubes all having the same dimensions. Of these cubes, a cube is selected at random. The total number of cubes having at least one of its sides painted is

A cone is having its base radius 12 cm and height 20 cm. If the top of this cone is cut in to form of a small cone of base radius 3cm is remove, then the remaining part of the solid cone becomes a frustum. Calculate the volume of the frustum.