R s aggarwal solutions mathematics class 8 Solutions for Chapter 19 volume and surface area of solids

Find the volume, lateral surface area and the total surface area of the cuboid whose

dimensions are:

(i) Length=22cm, breadth=12cm and height=7.5cm

(ii) Length=15m, breadth=6m and height=9dm

(iii) Length=24m, breadth=25cm and height=6m

(iv) Length=48cm, breadth=6dm and height=1m

A solid rectangular piece of iron measures 1.05m × 70cm × 1.5cm. Find the weight of

this piece in kilograms if 1cm3of iron weighs 8 grams.

A cardboard box is 1.2m long, 72cm wide, and 54cm high. How many bars of soap

can be put it into it if each bar measures 6cm × 4.5 cm × 4 cm?

How many bricks, each of size 25 cm × 13.5cm × 6 cm, will be required to build a wall

8 m long, 5.4 m high, and 33cm thick?

A wall 15m long, 30cm wide, and 4m high is made of bricks, each measuring 22 cm ×

12.5cm × 7.5 cm. If 1/12 of the total volume of the wall consists of mortar, how

many bricks are there on the wall?

Find the capacity of the rectangular cistern in liters whose dimensions are 11.2 m × 6m ×

5.8m. Find the area of the iron sheet required to make the cistern.

A pit 5m long and 3.5m wide is dug to a certain depth. If the volume of earth taken

out of it is 14 m3, what is the depth of the pit?

The volume of a circular iron rod of length 1m is 3850 cm3. Find its diameter.

The volume of a cylinder of height 8cm is 1232cm3. Find its curved surface area and

total surface area.

Select the correct answer in each of the following:

1. The maximum length of a pencil that can be kept in rectangular box of

dimensions 12cm × 9cm × 8cm, is

(a) 13cm (b) 17cm (c) 18cm (d) 19cm

The total surface area of a cube is 150 cm2.Its volume is

(a)216 cm3 (b) 125 cm3 (c) 64 cm3 (d) 1000 cm3

How many bricks, each measuring 25cm × 11.25cm × 6cm, will be needed to

build a wall 8m long, 6m high, and 22.5 cm thick?

(a)5600 (b)6000 (c)6400 (d)7200

How many cubes 0f 10cm edge can be put in a cubical box of 1m edge?

(a)10 (b)100 (c)1000 (d)10000

The edges of a cuboid have their volumes in the ratio 1:2:3 and its surface area

is 88cm2. The volume of the cuboid is

(a)48 cm3 (b) 64 cm3 (c) 96 cm3 (d) 120 cm3

Two cubes have their volumes in the ratio 1:27. The ratio of their surface areas

is

(a)1:3 (b)1:9 (c)1:27 (d)None of these

The surface area of a 10cm × 4cm × 6cm brick is

(a)84cm2 (b) 124cm2 (c)164cm2 (d) 180cm2

The surface area is 9m long, 40cm wide, and 20cm high. If 1 cubic meter of iron

weighs 50 kg, what is the weight of the beam?

(a)56kg (b)48kg (c)36kg (d)27kg

A rectangular water tank is a 3m long, 2m wide, and 5m high. How many liters of

water can it hold?

(a)30000 (b)15000 (c)25000 (d)35000