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 ...

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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]

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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.

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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.