Q6. Verify Euler's formula for Tetrahedron.
Q7. A person pays 2200 to some people to paint the inner curved surface area of a cylindrical vessel 10m deep. If the cost of painting is at the rate of 20 per mº, find (a) the inner curved area of the vessel.
(b) the radius of the base.
Q8. Water in a river, 2m deep and 45m wide, is flowing at the rate of 3 km per hour. . Find the amount of water in cubic meters that runs into the sea per minute.
Q9. If a polyhedron has 6 faces and 8 vertices, then how many edges does it have?
Q10. The dimensions of a cuboid are in the ratio 1: 2: 3 and its total surface area is 88 m. Find the dimensions.
Q11. The diameter and length of a roller are 70 cm and 100 cm respectively. It moves once over to level a playground of area 4400 m. Find the number of revolutions the roller will take to level the playground.
Q12. A wooden cuboid is 24 cm x 30 cm x 36 cm. Cubes of equal sides are cut off from all its corners. The volume of the remaining block is 20088 cm'. What is the length of the edge of each cube cut off from the cuboid?
(a) 6 cm
(b) 9 cm
(c) 1 cm
(d) 7 cm
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12. d, 7cm
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