Question 1 :
State true or false : Cuboid whose length = l, breadth = b and height = h ; Total surface area of cuboid = 2 ( lb + bh + hl )

Question 2 :
A dome of a building is in the form of a hemisphere. From inside, it was white-washed at the cost of Rs 4989.60. If the cost of white-washing is Rs 20 per square metre, find the volume of the air inside the dome.

Question 3 :
State true or false: Cylinder whose radius = r, height = h, it's total surface area should be $2\pi rh$.

Question 4 :
Find the curved surface area of a right circular cone whose slant height is 10 cm and base radius is 7 cm.

Question 5 :
A cylindrical pillar is 50 cm in diameter and 3.5 m in height. Find the cost of painting the curved surface of the pillar at the rate of Rs 12.50 per $m^2$.Assume $\pi$ =$\frac{22}{7}$.

Question 6 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d235f59b460d7261f565.jpeg' /> In the above image, Hameed has built a cubical water tank with lid for his house, with each outer edge 1.5 m long. He gets the outer surface of the tank excluding the base, covered with square tiles of side 25 cm. Find how much he would spend for the tiles, if the cost of the tiles is Rs 360 per dozen.

Question 7 :
A village, having a population of 4000, requires 150 litres of water per head per day. It has a tank measuring 20 m × 15 m × 6 m. For how many days will the water of this tank last?

Question 8 :
Shanti Sweets Stall was placing an order for making cardboard boxes for packing their sweets. Two sizes of boxes were required. The bigger of dimensions $25cm\times20cm\times5cm$ and the smaller of dimensions $15cm\times12cm\times5cm$. For all the overlaps, 5% of the total surface area is required extra. If the cost of the cardboard is Rs. 4 for 1000 $cm^2$ , find the cost of cardboard required for supplying 250 boxes of each kind.

Question 9 :
The height and the slant height of a cone are 21 cm and 28 cm respectively. Find the volume of the cone.

Question 10 :
The total surface area of a cube is 96 $cm^2$. Find the volume of the cube.

Question 11 :
The inner diameter of a circular well is 3.5 m. It is 10 m deep. Find the cost of plastering this curved surface at the rate of Rs 40 per $m^2$.Assume $\pi$ =$\frac{22}{7}$

Question 12 :
State true or false: The volume of the largest right circular cone that can be fitted in a cube whose edge is 2r equals to the volume of a hemisphere of radius r.

Question 13 :
A plastic box 1.5 m long, 1.25 m wide and 65 cm deep is to be made. It is opened at the top. Ignoring the thickness of the plastic sheet, determine the area of the sheet required for making the box.

Question 14 :
A plastic box 1.5 m long, 1.25 m wide and 65 cm deep is to be made. It is opened at the top. Ignoring the thickness of the plastic sheet, determine the cost of sheet for it , if a sheet measuring 1 $m^2$ costs Rs 20.

Question 15 :
It costs Rs 2200 to paint the inner curved surface of a cylindrical vessel 10 m deep. If the cost of painting is at the rate of Rs 20 per $m^2$ , find the capacity of the vessel.

Question 16 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d236f59b460d7261f567.jpeg' /> In the above image, a corn cob, shaped somewhat like a cone, has the radius of its broadest end as 2.1 cm and length (height) as 20 cm. If each 1 $cm^2$ of the surface of the cob carries an average of four grains, find how many grains you would find on the entire cob.

Question 17 :
Find the surface area of a sphere of diameter 14 cm.

Question 18 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d234f59b460d7261f564.jpeg' /> In the above image, Mary wants to decorate her Christmas tree. She wants to place the tree on a wooden box covered with coloured paper with picture of Santa Claus on it. She must know the exact quantity of paper to buy for this purpose. If the box has length, breadth and height as 80 cm, 40 cm and 20 cm respectively how many square sheets of paper of side 40 cm would she require?

Question 19 :
The diameter of the moon is approximately one fourth of the diameter of the earth. Find the ratio of their surface areas.

Question 20 :
A capsule of medicine is in the shape of a sphere of diameter 3.5 mm. How much medicine (in $mm^3$ ) is needed to fill this capsule?