KVS MATHS QUIZ 34 (MENSURATION)

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Question 1:

A 144 m long wire of radius 4 mm is melted to form a sphere. What is the surface area (in cm$^2$) of the sphere, assuming there is no wastage of material?

Question 2:

If the volume of a cube is 375√3 cm$^3$, then its diagonal is:

Question 3:

The length (in m) of the longest pole that can be fitted in a room of dimensions 12 m × 6 m × 4 m is:

Question 4:

If the perimeter of a circle is $88 \mathrm{~cm}$, then what is the area of the circle?

Question 5:

A solid metallic right circular cylinder has diameter $32 \mathrm{~cm}$ and height $9 \mathrm{~cm}$. It is melted and recast into a solid sphere. What is the radius (in cm) of the sphere?

Question 6:

A solid metallic cube of side $4.4 \mathrm{~cm}$ is melted and recast in the form of a wire of radius $2 \mathrm{~mm}$. Find the length (in $\mathrm{cm}$ ) of the wire. $\left(\right.$ Use $\left.\pi=\frac{22}{7}\right)$

Question 7:

The perimeter of rectangular field to $386 \mathrm{~m}$ and the difference between its two adjacent sides is $95 \mathrm{~m}$. The side of a square field, having the same area as that of the rectangle, is:

Question 8:

What is the length (in $\mathrm{cm}$ ) of the longest rod that can be fitted in a box of dimensions $28 \mathrm{~cm} \times 4 \mathrm{~cm} \times 10 \mathrm{~cm}$ ?

Question 9:

The area of a circle that is inscribed in a square of area $17 \frac{9}{11} \mathrm{~cm}^{2}$ is:

Question 10:

If the volume of a cone is $770 \mathrm{~cm}^3$ and its height is $15 \mathrm{~cm}$, then the radius of its base is: (take $\pi=\frac{22}{7}$ )