The teacher said, All students should submit their assignments before Friday:'
Answers
Explanation:
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:-}Solution:−
1.Given diagonal of rhombus are 10cm and 8cm
Let us assume that,
d_{1 = 10cm}d
1=10cm
d_{2} = 8cmd
2
=8cm
(d=diagonal)
As we know area of rhombus=
\frac{1}{2} \times d_{1} \times d_{2}
2
1
×d
1
×d
2
On putting values we get,
=
\frac{1}{2} \times 10cm \times 8cm
2
1
×10cm×8cm
= \frac{1}{2} \times 80 {cm}^{2}=
2
1
×80cm
2
On cancelling we get,
= 40 {cm}^{2}=40cm
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}6(side)
2
On putting values we get,
= 6(6cm)^{2}=6(6cm)
2
= 6(36 {cm}^{2} )=6(36cm
2
)
= 216 {cm}^{2}=216cm
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}=97200cm
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} hπr
2
h
r=radius
h=height
taking π=22\7
On putting values we get,
\frac{22}{7} \times {(7cm)}^{2} \times 14cm
7
22
×(7cm)
2
×14cm
\frac{22}{7} \times 49 {cm}^{2} \times 14cm
7
22
×49cm
2
×14cm
= \frac{22}{7} \times 686 {cm}^{3}=
7
22
×686cm
3
On cancelling with 7 we get,
=
\frac{22}{1} \times 98 {cm}^{3}
1
22
×98cm
3
= 2156 {cm}^{3}=2156cm
3
Therefore volume of cylinder is 2156cm^3
Step-by-step explanation:
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