Question

Q 1 .Find the total surface area of a cube whose side is 6 cm.


Q 2. Find the volume of a cuboid whose length, breadth and height is 60 cm , 54 cm, 30 cm




please tell question 1&2&3&4
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Answer 1

Answer:

Questions:-

Q 1. Find the area of a rhombus whose diagonal are 10 cm and 8 cm.

Q2. Find the total surface area of a cube whose side is 6 cm.

Q 3. Find the volume of a cuboid whose length, breadth and height is 60 cm, 54 cm, 30 cm

Q4. Find the volume of a cylinder whose radius is 7 cm and height is 14 cm.

$\huge\mathfrak\orange{Solution:-}$

1.Given diagonal of rhombus are 10cm and 8cm

Let us assume that,

$d_{1 = 10cm}$

$d_{2} = 8cm$

(d=diagonal)

As we know area of rhombus=

$\frac{1}{2} \times d_{1} \times d_{2}$

On putting values we get,

=

$\frac{1}{2} \times 10cm \times 8cm$

$= \frac{1}{2} \times 80 {cm}^{2}$

On cancelling we get,

$= 40 {cm}^{2}$

Therefore area of rhombus is 40cm^2

2.Given that

Cube side is 6cm

To find:-

Total surface area

T.S.A of cube=

$6(side)^{2}$

On putting values we get,

$= 6(6cm)^{2}$

$= 6(36 {cm}^{2} )$

$= 216 {cm}^{2}$

Therefore total surface area of cube whose side is 6cm

is 216cm^2

3.Given that,

Cuboid whose length, breadth and height is 60 cm, 54 cm, 30 cm

so length of cuboid=60cm

Breadth of cuboid=54cm

Height of cuboid=30cm

As we know,

Volume of cuboid=Length×Breadth×Height

On putting values we get,

=60cm×54cm×30cm

=3240cm^2×30cm

$= 97200 {cm}^{3}$

Therefore volume of cuboid is 97200cm^3

4. Given that:-

Radius of cylinder=7cm

Height of cylinder=14cm

To find:-

The volume of cylinder

As we know volume of cylinder=

$\pi \: {r}^{2} h$

r=radius

h=height

taking π=22\7

On putting values we get,

$\frac{22}{7} \times {(7cm)}^{2} \times 14cm$

$\frac{22}{7} \times 49 {cm}^{2} \times 14cm$

$= \frac{22}{7} \times 686 {cm}^{3}$

On cancelling with 7 we get,

=

$\frac{22}{1} \times 98 {cm}^{3}$

$= 2156 {cm}^{3}$

Therefore volume of cylinder is 2156cm^3

Step-by-step explanation:

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