RS Aggarwal Class 9 Solutions Chapter 13 Volume and Surface Area Ex 13A
These Solutions are part of RS Aggarwal Solutions Class 9. Here we have given RS Aggarwal Class 9 Solutions Chapter 13 Volume and Surface Area Ex 13A.
- RS Aggarwal Solutions Class 9 Chapter 13 Volume and Surface Area Ex 13A
- RS Aggarwal Solutions Class 9 Chapter 13 Volume and Surface Area Ex 13B
- RS Aggarwal Solutions Class 9 Chapter 13 Volume and Surface Area Ex 13C
- RS Aggarwal Solutions Class 9 Chapter 13 Volume and Surface Area Ex 13D
Find the volume, the lateral surface area and the total surface area of the cuboid whose dimensions are :
(i) length = 12cm, breadth = 8cm and height = 4.5cm
(ii) length = 26 m, breadth = 14m and height = 6.5m
(iii) length = 15m, breadth = 6m and height = 5dm
(iv) length = 24m, breadth = 25cm and height = 6m
(i) Length of cuboid (l) = 12cm
Breadth (b) = 8cm
and height (h) = 4.5cm
Find the capacity of a closed rectangular cistern whose length is 8m, breadth 6m and length 2.5m. Also find the area of the non sheet required to make the cistern.
Length of closed rectangular cistern (l) = 8m
breadth (b) = 6m
and depth (b) = 2.5m.
(i) .’. Volume of cistern = l.b.h.
= 8 x 6 x 2.5 m³ = 120m³
(ii) Total surface area = 2(lb + bh + hl)
= 2(8 x 6 + 6 x 2.5 + 2.5 x 8) cm²
= 2(48 + 15 + 20)
= 2 x 83 m²
= 166 m² Ans.
The dimensions of a room are (9m + 8m x 6.5m). It has one door of dimensions (2m x 1.5m) and two windows each of dimensions (1.5 x 1m). Find the cost of whitewashing the walk at Rs. 6.40 per square metre.
Length of room (l) = 9m
Breadth (b) = 8m
and height (h) = 6.5m
How many planks of dimensions (5m x 25cm x 10cm) can be stored in a pit which is 20m long, 6m wide and 80cm deep ?
Length of pit (l) = 20m
Breadth (b) = 6m
How many bricks will be required to construct a wall 8m long, 6m high and 22.5 cm thick if each brick measures (25m x 11.25 cm x 6cm) ?
Length of wall (l) = 8m.
Width (b) = 22.5 cm =
and height (h) = 6m.
Volume of wall = l.b.h.
A wall 15m long, 30 cm wide and 4m high is made of bricks, each measuring (22cm x 12.5cm x 7.5 cm). If of the total volume of the wall consists of mortar how many bricks are there in the wall ?
Length of wall (l) = 15m.
Width (b) = 30cm =
Height (h) = 4m
An open rectangular cistern when measured from outside is 1.35 m long, 1.08 m broad and 90 cm deep. It is made up of iron, which is 2.5cm thick. Find the capacity of the cistern and the volume of the iron used.
Outer length of opened cistern = 1.35m = 135 cm
Breadth = 1.08 m = 108 cm
Depth = 90cm
Thickness of iron = 2.5cm.
A river 2m deep and 45 m wide is flowing at the rate of 3 km per hour. Find the volume of water that runs into the sea per minute.
Depth of river = 2m
width = 45m.
Length of current in 60 minutes = 3km
A box made of sheet metal costs Rs. 1620 at Rs. 30 per square metre. If the box is 5m long and 3m wide, find its height.
Total cost of box = Rs. 1620
Rate per sq. m = Rs. 30
Find the length of the longest pole that can be put in a room of dimensions (10m x 10m x 5m).
Length of room (l) = 10m
Breadth (b) = 10m
Height (h) = 5m
How many persons can be accommodated in a dining hall of dimensions (20m x 16m x 4.5m) assuming that each person requires 5 cubic metres of air ?
Length of hall (l) = 20m
Breadth (b) = 16m
and height (h) = 4.5m.
Volume of the air inside the hall
A classroom is 10m long, 6.4 m wide and 5m high. If each student be given 1.6 m² of the floor area, how many students can be accommodated in the room ? How many cubic metres of air would each student get ?
Length of class room (l) = 10m
Width (b) = 6.4 m
Height (h) = 5m.
The volume of a cuboid is 1536 m³ . Its length is 16m and its breadth and height are in the ratio 3 : 2. Find the breadth and height of the cuboid.
Volume of cuboid = 1536 m³
Length (l) = 16m
Ratio in breadth and height = 3:2
Let breadth (b) = 3x
their height (h) = 2x
The surface area of a cuboid is 758 cm² . Its length and breadth are 14 cm and 11 cm respectively. Find its height.
Length of cuboid (l) = 14 cm
Breadth (b) = 11 cm .
Let height (h) =x cm
Surface area = 2(lb + bh + hl)
Find die volume, the lateral surface area, the total surface area and the diagonal of a cube, each of
whose edges measures :
(a) 9m, (b) 6.5 cm. (Take √3 = 1.73)
(a) Edge of cube (a) = 9m .
(i) volume = a³ = (9)³ m³ = 729 m³
(ii) Lateral surface area = 4a²
The total surface area of a cube is 1176 cm² . Find its volume.
Total surface area of a cube = 1176 cm²
Let each edge he ‘a’
then 6a² =1176
The lateral surface area of a cube is 900 cm². Find its volume.
Lateral surface area of a cube = 900 cm²
Let ‘a’ be the edge of the cube
The volume of a cube is 512 cm³. Find its surface area.
Volume of a cube = 512 cm³
Let ‘a’ be its edge, then
Three cubes of metal with edges 3cm, 4 cm and 5 cm respectively are melted to form a single cube. Find the lateral surface area of the new cube formed.
Edge of first-cube = 3 cm.
Volume = (3)³ = 27 cm³
In a shower, 5cm of rain falls. Find the volume of water that falls on 2 hectares of ground.
Area of ground = 2 hectares
= 2 x 10000 = 20000 m²
Height of rain falls 5cm = m
∴ Volume of rain water = 20000 x m³
= 1000 m³ Ans.
Hope given RS Aggarwal Class 9 Solutions Chapter 13 Volume and Surface Area Ex 13A are helpful to complete your math homework.
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