Volume of a Cuboid

Q.

Which is the largest modern bus terminus in Asia?

Q.

Question 96

Find the capacity of water tank, in litres, whose dimensions are 4.2 m, 3 m and 1.8 m?

Q. Question 3
Find the height of a cuboid whose base area is $180c{m}^2$ and volume is $900c{m}^3$?

Q.

Three cubes of iron whose edges are 6 cm, 8 cm and 10 cm respectively are melted and formed into a single cube. The edge of the new cube formed is

(a) 12 cm

(b) 14 cm

(c) 16 cm

(d) 18 cm

Q. Question 4
A cuboid is of dimensions 60 cm $\times$ 54 cm $\times$ 30 cm. How many can small cubes with side 6 cm be placed in the given cuboid?

Q.

The size of a matchbox is 4 cm $\times$ 2.5 an $\times$ 1.5 cm. What is the volume of a packet containing 144 matchboxes? How many such packets can be placed In a carton of size $1.5m\times 84cm\times 60cm$?

Q.

A closed wooden box 80 cm long, 65 cm wide and 45 cm high, is made of 2.5 cm-thick wood. Find the capacity of the box and its weight if $100c{m}^3$ of wood weighs 8 g.

Q.

A cuboid is of dimensions $60cm\times 54cm\times 30cm$. How many small cubes with side $6cm$ can be placed in the given cuboid?

Q.

Find the volume of wood used to make a closed box of outer dimensions $60cm\times 45cm\times 32cm$ , the thickness of wood being 2.5 cm all around.

Q.

Find the total area of four walls in each of rectangular room having length $10\mathrm{m}$, breath $5\mathrm{m}$ and height $4\mathrm{m}$

Q.

The external dimensions of a closed wooden box are 62 cm, 30 cm and 18 cm. If the box 1s made of 2-cm-thick wood, find the capacity of the box.

Q.

Question 120

A birthday cake has two tiers as shown in the figure below. Find the volume of the cake.

Q.

A solid wooden cube is painted blue on all its faces, the cube is then cut into smaller cubes with each edge one-sixth of the edge of the original cube. How many of the smaller cubes will have only one face obtained?

Q.

What is the volume of square?

Q.

The capacity of a certain cuboidal tank is 50000 litres of water. Find the breadth of the tank, if its height and length are 10 m and 2.5 m respectively.

Q.

A hollow iron pipe is $21cm$ long and its external diameter is $8cm$. If the thickness of the pipe is $1cm$ and iron weighs $8\raisebox{1ex}{$g$}\!\left/ \!\raisebox{-1ex}{$c{m}^3$}\right.$, then the weight of the pipe is :

Q.

In the middle of a rectangular field measuring $30m\times 20m$, a well of 7m diameter and 10m depth is dug. The earth so removed is evenlyspread over the remaining part of the field. Find the height through which the level of the field is raised.

Q.

A godown is in the form of a cuboid of measures 60 m × 40 m × 30 m. How many cuboidal boxes can be stored in it if the volume of one box is 0.8 $m^3$?

1. 75, 000
2. 95, 000
3. 80, 000
4. 90, 000

Q.

The external dimensions of a closed wooden box are 48 cm, 36 cm, 30 cm, The box made of 1.5 cm thick wood. How many bricks of size 6 cm $\times$ 3 cm $\times$ 0.75 cm can be put in this box?

Q.

A solid iron cuboidal block of dimensions $4.4m,2.6m,1m$ is cast into a hollow cylindrical pipe of internal radius $30cm$and thickness $5cm.$. Find length of the pipe.

Q.

Question 94

A carpenter makes a box which has a volume of $13400c{m}^3$. The base has an area of $670c{m}^2$. What is the height of the box?

Q.

A rectangular water tank is 90 cm wide and 40 cm deep. If it can contain 576 litres of water, what is its length?

Q.

A pit 5 m long and 3.5 m wide is dug to a certain depth. If the volume of earth taken out of it is $14m^3$, what is the depth of the pit?

Q.

A solid rectangular piece of iron measures $1.05in\times 70cm\times 1.5cm$. Find the weight of this piece in kilograms if $1c{m}^3$ of iron weighs 8 grams.

Q.

Find the volume of Iron required to make an open box whose external dimensions are 36 cm $\times$ 25 cm $\times$ 16.5 cm , the box being 1.5 cm thick throughout. if 1 cm3 of iron weighs 8.5 grams, find the weight of the empty box in kilograms.

Q.

A rectangular water tank is 3 m long. 2 m wide and 5 m high. How many litres of water can it hold?

(a) 30000

(b) 15000

(c) 25000

(d) 35000

Q.

The dimensions of a rectangular water tank are 2 m 75 cm by 1 m 80 cm by 1 in 40 cm. How many litres of water does it hold when filled to the brim?

Q.

How many bricks, each of size 25 cm $\times$ 13.5 cm $\times$ 6 cm, will be required to build a wall 8 m long, 5.4 in high and 33 cm thick?

Q.

A beam of wood is 5 in long and 36 cm thick. It is made of $1.35m^3$ of wood. What is the width of the beam?

Q.

Question 23

A covered wooden box has the inner measures as 115 cm, 75 cm and 35 and thickness of wood as 2.5. cm. The volume of the wood is
(a) $85000c{m}^3$ (b) $80000c{m}^3$
(c) $82125c{m}^3$ (d) $84000c{m}^3$