Quiz about Surface Area And Volume

Question 1

Three metallic solid cubes whose edges are $$3 {~cm}, 4 {~cm}$$ and $$5 {~cm}$$, are melted and formed into a single cube. Find the edge of the cube so formed.

Accepted Answer

Covalent bond

Answer

$$6 {~cm}$$

Answer

$$7 {~cm}$$

Answer

$$8 {~cm}$$

Answer

$$9 {~cm}$$

Question 2

How many shots each having diameter $$3 {~cm}$$ can be made from a cuboidal lead solid of dimensions $$9 {~cm} 	imes 11 {~cm} 	imes 12 {~cm}$$ ?

Accepted Answer

Covalent bond

Answer

$$84 $$

Answer

$$82$$

Answer

$$80$$

Answer

$$88 $$

Question 3

A metallic sphere of radius $$4.2 {~cm}$$ is melted and recast into the shape of a cylinder of radius $$6 {~cm}$$. Find the height of the cylinder.

Accepted Answer

Covalent bond

Answer

$$2.744 {~cm}$$

Answer

$$1.744 {~cm}$$

Answer

$$2.369 {~cm}$$

Answer

$$1.369 {~cm}$$

Question 4

Metallic spheres of radii $$6 {~cm}, 8 {~cm}$$ and $$10 {~cm}$$ respectively, are melted to form a single solid sphere. Find the radius of the resulting sphere.

Accepted Answer

Covalent bond

Answer

$$12 {~cm}$$

Answer

$$10 {~cm}$$

Answer

$$14 {~cm}$$

Answer

$$15 {~cm}$$

Question 5

500 persons are taking a dip into a cuboidal pond which is $$80 {~m}$$ long and $$50 {m}$$broad. What is the rise of water level in the pond, if the average displacement of the water by a person is $$0.04 m^{3}$$ ?

Accepted Answer

Covalent bond

Answer

$$0.5 {~cm}$$

Answer

$$1.5 {~cm}$$

Answer

$$2.5 {~cm}$$

Answer

$$3.5 {~cm}$$

Ncert Textbook Surface Area And Volume Gseb Class 10 Maths Problems and Solutions

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