Question

A carpenter made a wooden pen stand as shown in figure. It is in the shape of cuboid with four
conical depressions to hold pens. The dimensions of the cuboid are 15cm x 10 cm x 3.5 cm. The radius of
each of the depressions is 0.5 cm and the depth is 1.4cm . On the basis of this information answer the
following questions.
(1) What is the volume of cuboid ?
(a) 525 cm
(b) 225 cm
3
3

(C) 552 cm
(d)255 cm
(ii) What is the volume of cone
(a) 11/3 cm
3
(b) 11/30 cm
(c)) 3/11 cm
(d)) 30/11 cm
(iii) What is the total volume of conical depression ?
(a) 1.74 cm
(b) 1.44 cm
3
(C)1.47 cm
(d) 1.77 cm
(iv) What is volume of wood in the entire stand
(a) 522 35 cm
(b) 532.53 cm
3
3
3
(c) 523.35 cm
(d) 523.53 cm
(v) The given problem is based on which mathematical concepts
(a) Triangle
(b) Lines
(c) Height and Distance
(d) None​

Answer 1

1a

2c

3d

4b

5c

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