Introduction to Volume of a Solid

Q. Volume of a solid is measured in "cubic units".

1. True
2. False

Q. If the side of a cube is $18$ cm, what will be its volume?

Q.

A tank on a road roller is filled with water to make the roller heavy. The tank is a cylinder that has a height of $6$ feet and a radius of $2$ feet. About how many pounds of water can the tank hold? (One cubic foot of water weighs about $62.5$ pounds.)

Q.

A storage tank is in the form of a cube. When it is full of water, the volume of water is $15.625m^3$. If the present depth of water is $1.3m,$ find the volume of water already used from the tank.

Q. is the measure of space occupied by a three dimensional solid.

1. Length
2. Area
3. Volume

Q. If the volume of each small cube is $3$ cm${}^3$, what will be the volume (in cm${}^3$) of the following shape?

Q.

Differentiate between area and volume.

Q. Water occupies a quater of the capacity of a tank, if the small individual cubes represent unit volume of water, how much air is present in the tank?

1. $64$
2. $16$
3. $48$
4. $36$

Q. Gerry has a large box of volume 50 m³ and has to fill in smaller boxes of 9 m³ inside of it. How many entire boxes can he fit in?

Q. Choose the correct pair involving the measure and its associated dimension.

1. Length
2. Area
3. Volume
4. 1 Dimension
5. 2 Dimensions
6. 3 Dimensions

Q. Find the volume (in cu ft) of the given decorative right circular cone.

1. $\frac{133}{36}$
2. $\frac{19}{36}$
3. $\frac{133}{108}$
4. $\frac{155}{36}$

Q. A hollow cylindrical vessel with negligible thickness has a base area of $\frac{4}{3}$ sq ft and is $\frac{11}{7}$ ft long. Find the capacity of this vessel.

1. $\frac{44}{7}$ cu ft
2. $\frac{22}{21}$ cu ft
3. $\frac{44}{21}$ cu ft
4. $\frac{33}{28}$ cu ft

Q.

Match the folloing column.

column 1 column 2

(shapes) (number of cubes)

Column 1	Column 2
	$10$
	$9$
	$8$
	$5$
	$6$