The elder son of a carpenter picked up a solid wooden cube from his garage and then he removed a few cubical blocks from it so that he can sit on it with his friends comfortably and watch the football match in his house. If the volume of the original cube is $216$ cubic ft. and the volume of each smaller cubic solid that has been removed is $8$ cubic ft, what is the surface area (in cu. ft.) of the remaining solid?

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Important Questions on Mensuration

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IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 10 - SNAP>CMAT>Q 61

An ant has to go from one corner to the farthest corner of a canister of size

6 \times 6 \times 12

. What's the minimum distance it has to cover, (All the lengths are in cm)?

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Quantum CAT Also Useful for XAT>Chapter 10 - SNAP>CMAT>Q 63

A semi-circle and a circle with same radius inscribe a square of greatest possible area. What is the ratio of area of square inscribed by semicircle to that by circle?

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Quantum CAT Also Useful for XAT>Chapter 10 - SNAP>CMAT>Q 64

In the following figure the radii (OA and OD) are $2 cm$ and $∆ ABO$ and $∆ DCO$ are right-angle triangles. Also, $OB = \sqrt{2} cm$ and $OC = 1 cm$ . Find the area of the shaded region in the circle.

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Quantum CAT Also Useful for XAT>Chapter 10 - SNAP>CMAT>Q 6

ABCD is a square of side $a cm$ . ABBC,CD and AD all are the chords of circles with equal radii each. If the chords subtend an angle of $120 °$ at their respective centres, find the total area of the given figure, where arcs are part of the circles :

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