A cuboidal box is of the measurement 3 cm - 2 cm - 36 cm- Find the volume and check if it is a perfect cube or not- -2 MARKS-

Concept: 1 Mark Application: 1 Mark The volume of the box = 3 × 2 × 36 = 216 By prime factorisation 216 = 2 × 2 × 2 × 3 × 3 × 3 So we have three 2’s and thre ...

You visited us 4 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VIII

Mathematics

Cube Numbers

A cuboidal bo...

Question

A cuboidal box is of the measurement $3 c m \times 2 c m \times 36 c m$ . Find the volume and check if it is a perfect cube or not. [2 MARKS]

Open in App

Solution

Concept: 1 Mark
Application: 1 Mark

The volume of the box $= 3 \times 2 \times 36 = 216$

By prime factorisation
$216 = 2 \times 2 \times 2 \times 3 \times 3 \times 3$

So we have three 2’s and three 3’s.

Therefore, the volume is a perfect cube.

Suggest Corrections

Similar questions

A cuboidal box is of the measurement $3 c m \times 2 c m \times 36 c m$ . Find the volume and check if it is a perfect cube or not. [2 MARKS]

Q. Find the number of cuboidal boxes measuring 2 cm by 3 cm by 10 cm which can be stored in a carton whose dimensions are 40 cm, 36 cm and 24 cm.

A man makes a cuboid of plastic of dimension 5cm, 2cm, 5cm. Find the volume to be added to the original cuboid to form a perfect cube? [2 MARKS]

Find the number of cuboidal boxes measuring 2 cm by 3 cm by 10 cm which can be stored in a carton whose dimensions are 40 cm, 36 cm an 3 cm by 10 d 24 cm.

Q. The volume of a cuboidal box is 48 cm³. If its height and length are 3 cm and 4 cm respectively, find its breadth.

Join BYJU'S Learning Program

A cuboidal box is of the measurement 3 cm×2 cm×36 cm. Find the volume and check if it is a perfect cube or not. [2 MARKS]

Concept: 1 Mark Application: 1 Mark The volume of the box =3×2×36=216 By prime factorisation 216=2×2×2×3×3×3 So we have three 2’s and three 3’s. Therefore, the volume is a perfect cube.

A cuboidal box is of the measurement $3 c m \times 2 c m \times 36 c m$ . Find the volume and check if it is a perfect cube or not. [2 MARKS]

Concept: 1 Mark
Application: 1 Mark

The volume of the box $= 3 \times 2 \times 36 = 216$

By prime factorisation
$216 = 2 \times 2 \times 2 \times 3 \times 3 \times 3$

So we have three 2’s and three 3’s.

Therefore, the volume is a perfect cube.