Question

Jack is studying in class VIII. His maths teacher assigned him to make a model of cube. Cube is a 3 dimensional shape that consists of 6 faces and all the faces are square in shape.He has given a cardboard of 216 Cm² area.All the cardboard is used in making the cube without any wastage in cutting.

Then find the following

Q.1 What is the area of the base of the cube?
a)216 Cm²
b)6 Cm²
c)25 Cm²
d)36 Cm²

Q.2 Find the length of the longest rod that can be put in the cube?
a)6

$\sqrt[6]{3}$
b)6 cm
c)18 cm
d)36 cm

pls include the explanation ​

Answer 1

Q1: D

Q2: 6 cm

That the answer hope you like it and plz brainlist it

Answer 2

The area of the base of the cube is 36 cm² and the longest rod that can be placed in the cube is of length 6√3 cm.

Given:

• Jack is studying in class VIII.
• His maths teacher assigned him to make a model of cube.
• The cube is a 3 dimensional shape that consists of 6 faces and all the faces are square in shape.
• He has given a cardboard of 216 Cm² area.
• All the cardboard is used in making the cube without any wastage in cutting.

To find:

• Q.1 What is the area of the base of the cube?
• a)216 Cm²
• b)6 Cm²
• c)25 Cm²
• d)36 Cm²

• Q.2 Find the length of the longest rod that can be put in the cube?
• a)$6 \sqrt{3}$cm
• b)6 cm
• c)18 cm
• d)36 cm

Solution:

Formula to be used:

• Total surface area of a cube$\bf= 6 {a}^{2}$where, 'a' is side of cube
• Area of base of cube$= \bf {a}^{2}$
• Longest rod that can be placed in a cube :$\bf a \sqrt{3}$

Step 1:

Find the area of the base of the cube.

$6 {a}^{2} = 216$

${a}^{2} = \frac{216}{6}$

$\bf {a}^{2} = 36$

The base of cube is 36 cm².

Option 'd ' is correct.

Step 2:

Find the length of the longest rod that can be put in the cube.

Find the side/edge of cube.

${a}^{2} = 36$

$\bf a = 6\:cm$

The longest rod that can be placed inside the cube is $\bf 6 \sqrt{3} \: cm$.

Option 'a' is correct.

Final answer:

1. The area of the base of the cube is 36 cm².
2. The length of longest rod that can be placed in the cube is 6√3 cm.

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