Measurements of cube & cuboid | Volume and Weight (How Big? How Heavy?) | Assessment | English | Grade 5

Here is a box of length l, breadth b and height h. Cubes of 1 cm length, breadth and height are to be arranged in the given box. Choose the correct formula, which shows the total number of cubes arranged in the box.

• l + b

• l x b

• l + b + h

• l x b x h

Answer explanation

Total number of cubes to be arranged in the box shows the volume of the box. Number of cubes in the first layer will be l x b. There will be h such layers. So, total number of cubes in the box will be l x b x h. So, the correct answer is option 4.

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

Find the number of cubes that can be arranged in the first layer of the box, if length, breadth and height of a box is 10 cm each. Given that length, breadth and height of cube is 1 cm.

• 100

• 10

• 1000

• None of these

Answer explanation

Number of cubes in the first layer of the box is given by, l x b i.e. 10 x 10 = 100 So, correct answer is option 1.

Tags

CCSS.6.G.A.2

CCSS.5.MD.C.5A

Find the total number of cubes that can be put in the box, when length of the box is 10 cm, breadth is 10 cm and height is 5 cm. Given that length, breadth and height of cube is 1 cm.

• 10

• 100

• 500

• 1000

Answer explanation

Cubes to be arranged are of length 1cm. First, we will find the number cubes that can be arranged in the first layer. Length and breadth of box are 10 cm and 10 cm respectively. Therefore, cubes in the first layer is 10 x 10 = 100 Height of the box is 5 cm. So there will be 5 such layers. So, total cubes that can be arranged in the box will be 100 x 5 = 500.

Tags

CCSS.6.G.A.2

CCSS.5.MD.C.5A

Volume of a cuboid is always greater than volume of a cube.

• TRUE

• FALSE

Answer explanation

Volume of a cuboid can be greater, lesser or equal to any given cube and vice versa.

Tags

CCSS.6.G.A.2

CCSS.5.MD.C.5B

While playing, Rhea arranged first layer of 50 cubes in a box. The box was completely filled in 12 such layers. What will be the volume of the box?

• 100

• 500

• 600

• 1000

Answer explanation

Rhea arranged the 1st layer of 50 cubes. Likewise she arranged 12 layers. So, total number of cubes in the box will be 50 x 12 = 600 = volume of the box. So, volume of box is 600.

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

Guddu wants to arrange 2000 cubes of length of 1 cm each in a box. Which of the given box should she choose?

• a

• b

• both a and b

• neither a nor b

Answer explanation

First, we will find the volume of both the boxes. Volume of box (a) = l x b x h = 20 x 20 x 20 = 400 x 20 = 8000 cubes Volume of box (b) = l x b x h = 30 x 10 x 5 = 300 x 5 = 1500 cubes Guddu wants to arrange 2000 cubes of 1 cm length, breadth and height. As volume of box (b) is less than the total number of cubes i.e. 2000, so, Guddu will choose box (a).

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4