Volume of a Cuboid

Q.

Seven cubes of same volume having side $5cm$ are joined end to end. Find the Surface area of the resulting cuboid.

1. 750 $c{m}^2$

2. 1500 $c{m}^2$

3. 2250 $c{m}^2$

4. 700 $c{m}^2$

Q. The volume of a cuboid of height 18 cm, length 10 cm, and breadth 5 cm is?.........[2 marks]

Q.

A cuboidal reservoir of base $80m\times 60m$ is $6.5m$ deep. In what time(in hours) can the water be emptied by a pipe having a cross section in the form of a square of side $20cm,$ if water runs through the pipe at the rate of $15km/hr?$

1. 50 hours

2. 55 hours

3. 52 hours

4. 48 hours

Q.

From a $25cm\times 35cm$ rectangular cardboard, an open box is to be made by cutting out identical square of area $25c{m}^2$, one from each corner and turning up the sides. The volume of the box is:

1. $1875c{m}^3$

2. $2175c{m}^3$

3. $1250c{m}^3$

4. $3000c{m}^3$

Q.

A lorry carrier measures $10\text{m}\times 7\text{m}\times 5\text{m}.$ Find the maximum number of wooden crates each measuring $2\text{m}\times 1\text{m}\times 0.5\text{m}$ that can be transported inside the lorry.

1. 588

2. 1024

3. 350

4. 668

Q.

Volume of a cuboid whose length, breadth and height are $20cm,15cm$ and $10cm$ respectively is _______.

1. $3000c{m}^3$

2. $1750c{m}^3$

3. $2500c{m}^3$

4. $2750c{m}^3$

Q.

Two rectangular boxes have the same height and length, but different widths as shown in the figure.

The difference in the volumes of the boxes is 360 cm³. What is the height of the boxes?

1. 18 cm

2. 15 cm

3. 16 cm

4. 14 cm

Q.

The base area and the area of two adjacent walls of a rectangular box is known. The product of these areas is equal to

1. The volume of the box

2. the square root of the valume

3. twice the volume

4. the square of the volume

Q.

A small village, having a population of 5, 000 requires 75 litres of water per head per day. The village has got an over head tank of measurement 40 m $\times$ 25 m $\times$ 15 m. For how many days will the water in the tank last?

1. 45 days

2. 35 days

3. 50 days

4. 40 days

Q.

In the given figure, a podium is shown, whose each face is rectangular. Find its volume (in $c{m}^3$).

1. $86000c{m}^3$

2. $86400c{m}^3$

3. $86200c{m}^3$

4. $86100c{m}^3$