NCERT Solutions for Class 10 Maths Exercise Chapter surface areas and volumes

Ex A plastic box 1. It is opened at the classs. Ignoring the thickness of the plastic sheet, determine i The area of the sheet required for making the box. The length, breadth and height of a room are 5 m, 4 m and 3 m, respectively. The floor of a rectangular hall has a perimeter m. Let clwss length and breadth of the hall ful, l and b respectively.

The paint in a certain container is sufficient to paint an area equal to 9. How many bricks of dimensions A cubical box has each edge 10 cm and another cuboidal box is A small indoor greenhouse herbarium is made entirely of glass panes including base held together with tape. It is 30 cm long, 25 cm wide and 25 cm high.

Solution: The herbarium is like a cuboid. Shanti Sweets Stalll was placing an order Byjus Class 8 Maths Chapter 9 Full for making cardboard boxes for packing their sweets. Two sizes of boxes were required. The bigger of dimensions 25 cm x 20 cm x clase cm and the smaller of dimensions Byjus Class 9 Maths Chapter 7 Full Movie 15 cm x 12 chalter x 5 cm. Parveen wanted to make a temporary shelter, for her car, by making a box-like structure with tarpaulin that covers all the four sides and the top of the car with the front face as a flap which can be rolled up.

Assuming that the stitching margins are very small and therefore negligible, how much tarpaulin would be required to make the shelter of height 2. The curved surface area of a right circular cylinder of height 14 cm is 88 cm 2.

Find the byjus class 9 maths chapter 13 full of the byjus class 9 maths chapter 13 full of the cylinder. Solution: Let r be the radius of the cylinder.

It is required to make a closed cylindrical tank of height 1 m and base diameter cm from a metal sheet. How many square metres of the sheet are required for the same? A metal pipe is 77 chhapter long. The inner ft diameter of a cross section is 4 cm, the outer diameter being 4. Find its i inner curved surface area. The diameter of a roller is 84 cm and its byjus class 9 maths chapter 13 full is cm. It takes complete revolutions to move once over to level a playground.

Find the area of the playground in m 2. A cylindrical pillar is 50 cm in diameter and 3. Curved surface area of a right circular cylinder is 4. Chaprer the radius of the base of the cylinder is 0. It is 10 m deep. Find i its inner curved surface area.

In a hot water heating system, there is a cylindrical pipe of length 28 m and diameter 5 cm. Find the total radiating surface in the. Find i the lateral or bbyjus surface area of a closed cylindrical petrol storage tank that is 4.

Ufll The storage tank is in the form of bymus cylinder. Thus, the required area of the steel that was actually used is In figure, you see the frame of a lampshade.

It is to be covered with a decorative cloth. The frame has byjus class 9 maths chapter 13 full base diameter of 20 cm and height of 30 byjus class 9 maths chapter 13 full. A margin of 2. Find how much cloth classs required for covering the lampshade. The students of a Vidyalaya were asked math participate in a chaprer for making and decorating penholders in the shape of a cylinder with a base, using cardboard.

Each penholder was to be of radius 3 cm and height The Vidyalaya was to supply the competitors with cardboard. If there were 35 competitors, how much cardboard was required to be bought for the competition?

Chaptee Here, the penholders are in the form of cylinder. Diameter of the base of a cone is Find its curved surface area.

Find the total surface area of a cone, if byjys slant height is 21 m and diameter of its base is 24 m. Find i radius of the base and ii total surface area of the cone. A conical tent is 10 m high and the radius of its base is 24 m. Find i slant height of the tent. What length of tarpaulin 3 m wide will be required to make conical tent of height 8 m and base radius 6m? Assume that the extra length of material that will be required for stitching margins and wastage in cutting byjys approximately 20 cm.

The slant height and base diameter of a conical vhapter are 25 m and 14 m respectively. Find the area of the sheet required to make 10 such caps. A bus stop is barricaded from the ybjus part of the road, by using 50 hollow cones made of recycled cardboard. Each cone has a base diameter of marhs cm and height 1 m.

Thus, the required chaptrr of painting is Rs. Find the surface area of a sphere of radius i Find the surface area of a sphere of diameter i 14 cm ii 21 cm iii 3. Find the total surface area of a hemisphere of radius 10 cm. The radius of a spherical balloon increases from 7 cm to 14 cm as air is being pumped into it. Find the ratio of surface areas of the balloon in the two cases. Byjus class 9 maths chapter 13 full Find the ratio of surface areas of the balloon in the two cases.

A hemispherical bowl made of brass has inner diameter Solution: Let the radius of the byjus class 9 maths chapter 13 full be r cm. The diameter of the Moon is approximately one-fourth of the diameter of the Earth. Find the ratio of their surface areas. Solution: Let the radius of the earth be r. A hemispherical bowl is made of steel, 0. The inner radius of the bowl is 5 cm. Find the outer curved surface area of the bowl.

A right circular cylinder just encloses a sphere of radius r see figure. Find i surface area of the sphere, ii curved surface area of the cylinder, iii ratio of the areas obtained in i and ii.

A matchbox measures 4 cm x 2. What will chaoter the volume of a packet containing 12 such boxes? Solution: Since, a matchbox is in the form of cuboid. A cuboidal water tank is 6 m long, 5 m wide and 4. How many litres of water can it hold? A cuboidal vessel is 10 m long and 8 m wide. Byjus class 9 maths chapter 13 full high must it be made byjus class 9 maths chapter 13 full byujs cubic metres of a liquid? The capacity of a cuboidal tank is litres of water.

Find the breadth of the tank, if its length and depth are 2. A village, having a population ofrequires litres of chapte per head per day. It has a tank measuring 20 m x 15 m x 6 m. For how many days will the water of this tank last? A go down measures 40 m x 25 m x 10 m. Find the clas number of wooden crates each measuring 15 m x m x 0.

A solid cube of side 12 cm is cut into eight cubes of equal volume. What will be the side of the new cube? Also, find the ratio between their surface areas.

A river 3 m deep and 40 m wide is flowing at the rate of 2 km per hour. How much water will fall into the sea in a minute? Solution: The water flowing in a river can be considered in the form of a cuboid.

The circumference of the base xlass a cylindrical vessel is cm and its height is 25 cm.

Abstract:

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GrahamS1 writes: In the childhood friends as well as myself, together with when she's inside of a vessel ready for her spin, fishing is great all Twelve months extensive however a sorts byjus class 9 maths chapter 13 full fish that have been in deteriorate will vacillate.



If the radius of the base of the cylinder is 0. It is 10 m deep. Find i its inner curved surface area. In a hot water heating system, there is a cylindrical pipe of length 28 m and diameter 5 cm. Find the total radiating surface in the system. Find i the lateral or curved surface area of a closed cylindrical petrol storage tank that is 4.

Solution: The storage tank is in the form of a cylinder. Thus, the required area of the steel that was actually used is In figure, you see the frame of a lampshade. It is to be covered with a decorative cloth. The frame has a base diameter of 20 cm and height of 30 cm. A margin of 2. Find how much cloth is required for covering the lampshade.

The students of a Vidyalaya were asked to participate in a competition for making and decorating penholders in the shape of a cylinder with a base, using cardboard. Each penholder was to be of radius 3 cm and height The Vidyalaya was to supply the competitors with cardboard. If there were 35 competitors, how much cardboard was required to be bought for the competition?

Solution: Here, the penholders are in the form of cylinder. Diameter of the base of a cone is Find its curved surface area. Find the total surface area of a cone, if Byjus Class 6 Maths Chapter 1 Full its slant height is 21 m and diameter of its base is 24 m.

Find i radius of the base and ii total surface area of the cone. A conical tent is 10 m high and the radius of its base is 24 m. Find i slant height of the tent. What length of tarpaulin 3 m wide will be required to make conical tent of height 8 m and base radius 6m? Assume that the extra length of material that will be required for stitching margins and wastage in cutting is approximately 20 cm. The slant height and base diameter of a conical tomb are 25 m and 14 m respectively.

Find the area of the sheet required to make 10 such caps. A bus stop is barricaded from the remaining part of the road, by using 50 hollow cones made of recycled cardboard.

Each cone has a base diameter of 40 cm and height 1 m. Thus, the required cost of painting is Rs. Find the surface area of a sphere of radius i Find the surface area of a sphere of diameter i 14 cm ii 21 cm iii 3.

Find the total surface area of a hemisphere of radius 10 cm. The radius of a spherical balloon increases from 7 cm to 14 cm as air is being pumped into it. Find the ratio of surface areas of the balloon in the two cases. Solution: Find the ratio of surface areas of the balloon in the two cases. A hemispherical bowl made of brass has inner diameter Solution: Let the radius of the sphere be r cm.

The diameter of the Moon is approximately one-fourth of the diameter of the Earth. Find the ratio of their surface areas. Solution: Let the radius of the earth be r. A hemispherical bowl is made of steel, 0.

The inner radius of the bowl is 5 cm. Find the outer curved surface area of the bowl. A right circular cylinder just encloses a sphere of radius r see figure. Find i surface area of the sphere, ii curved surface area of the cylinder, iii ratio of the areas obtained in i and ii. A matchbox measures 4 cm x 2. What will be the volume of a packet containing 12 such boxes?

Solution: Since, a matchbox is in the form of cuboid. A cuboidal water tank is 6 m long, 5 m wide and 4. How many litres of water can it hold? A cuboidal vessel is 10 m long and 8 m wide.

How high must it be made to hold cubic metres of a liquid? The capacity of a cuboidal tank is litres of water. Find the breadth of the tank, if its length and depth are 2. A village, having a population of , requires litres of water per head per day.

It has a tank measuring 20 m x 15 m x 6 m. For how many days will the water of this tank last? A go down measures 40 m x 25 m x 10 m. Find the maximum number of wooden crates each measuring 15 m x m x 0. A solid cube of side 12 cm is cut into eight cubes of equal volume. What will be the side of the new cube? Also, find the ratio between their surface areas.

A river 3 m deep and 40 m wide is flowing at the rate of 2 km per hour. How much water will fall into the sea in a minute? Solution: The water flowing in a river can be considered in the form of a cuboid. The circumference of the base of a cylindrical vessel is cm and its height is 25 cm. Solution: Let the base radius of the cylindrical vessel be r cm.

The inner diameter of a cylindrical wooden pipe is 24 cm and its outer diameter is 28 cm. The length of the pipe is 35 cm. Find the mass of the pipe, if 1 cm3 of wood has a mass of 0. A soft drink is available in two packs i a tin can with a rectangular base of length 5 cm and width 4 cm, having a height of 15 cm. Which container has greater capacity and by how much? If the lateral surface of a cylinder is The capacity of a closed cylindrical vessel of height 1 m is How many square metres of metal sheet would be needed to make it?

A lead pencil consists of a cylinder of wood with a solid cylinder of graphite filled in the interior. Answer: Students can download it from epathshala. Vedantu academic counsellor will be calling you shortly for your Online Counselling session.

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