Volume and Capacity | Mensuration | Assessment | English | Grade 8

The quantity that a container can hold is called the _______ of the container.

• Area

• Volume

• Capacity

• None of these

Answer explanation

Option 3 is correct as the quantity that a container holds is called _______ of the container

How many cubic metres of earth must be dug to construct a well 14 m deep and of diameter 40 m?

• 1257 m³

• 17600 m³

• 35200 m³

• 12320 m³

Answer explanation

The digging will be done in cylindrical shape Radius = diameter/2 = 20 m Height = 14 m Volume = πr²h = (22/7) × 20 m × 20 m × 14 m = 17600 m³ So, option 2 is correct.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A milk tank is in the form of cylinder whose radius is 3 m and length is 14 m. How much milk can be stored in the tank?

• 397000 L

• 396500 L

• 396700 L

• 396000 L

Answer explanation

Volume of cylindrical tank = πr²h = (22/7) × 3 × 3 × 14 = 396 m³ Since 1 m³ = 1000 L So, 396 m³ = 396000 L So, Option 4 is correct.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Water is pouring into a cuboidal reservoir at the rate of 55 litres per minute. If the volume of reservoir is 99 m³, how many hours will be required to completely fill the reservoir?

• 30 hours

• 32 hours

• 36 hours

• 28 hours

Answer explanation

Volume of reservoir = 99 m³ = 99000 L (as 1 m³ = 1000 L) Water is pouring at the speed of 55 L/min So, time taken in minutes to fill the reservoir = Volume of reservoir/ water poured in one minute = 99000 L /55 L = 1800 minutes 1800 minutes = 1800/60 = 30 hours So, 99 m³ of water is poured in 30 hrs So, option 1 is correct.

Tags

CCSS.5.MD.A.1

How many small cubes with edge of 50 cm each can be just accommodated in a cubical box of 5 m edge?

• 10

• 100

• 1000

• 10000

Answer explanation

Volume of the cubical box = side³ = (5 m)³ = 125 m³ Volume of a small cube = side³ = (50 cm)³ = (0.5 m)³ = 0.125 m³ Required number of small cubes = Volume of cubical box/Volume of a small cube = 125/0.125 = 1000 So, option 3 is correct.

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

Madhuri has two containers: one is cuboidal and the other is cylindrical, as shown in figure. Find out which container can accommodate more water than the other?

• The cylindrical container can accommodate more water than the cuboidal container

• The cuboidal container can accommodate more water than the cylindrical container

• Both the containers can hold equal amount of water

• None of the above

Answer explanation

Volume of cuboidal container = l × b × h = 25 × 12 × 12 = 3000 m³ Volume of cylindrical container = (22/7) × 5² × 21 = 22 × 25 × 3 = 1650 m³ Hence cuboidal container will accommodate 3000 - 1650 = 1350 m³ more water than the cylindrical container. So, option 2 is correct answer.

Tags

CCSS.3.MD.A.2