The total surface area of a cube is 486 cm^2. Find its lateral surface area and diagonal of the cube.

Question

XYZ Asked Aug 8, 2021 recategorized Sep 19, 2023 by Chandan

92 views

1 Answer

RELATED DOUBTS

ALOK_RAJ Asked Sep 26, 2021

97 views

Find the curved surface area of a right circular cone whose slant height is 10 cm and base radius is 7 cm.

ALOK_RAJ Asked Sep 26, 2021

by ALOK_RAJ

1 Answer

5 Votes

97 Views

AnjaliYadav Asked Apr 16, 2021

147 views

Find the volume, the total surface area and the lateral surface area of a cuboid which is 15 m long, 12 m wide and 4.5 m high.

AnjaliYadav Asked Apr 16, 2021

by AnjaliYadav

1 Answer

8 Votes

147 Views

Aayush Asked Feb 22

37 views

The length, breadth and height of a rectangular solid are in the ratio of 3:2:1 and its total surface area is 352cm^2, then find its length.

Aayush Asked Feb 22

by Aayush

1 Answer

0 Votes

37 Views

Pranav Kumar Asked Sep 4, 2021

93 views

The length, breadth and height of a room are 5 m, 4 m and 3 m respectively. Find the cost of white washing the walls of the room and ceiling at the rate of Rs 7.50 per m^2.

Pranav Kumar Asked Sep 4, 2021

by Pranav Kumar

1 Answer

3 Votes

93 Views

Chandan Asked Sep 11, 2023

59 views

A vessel of volume 2000 cm ^{3} contains 0.1 mol of oxygen and 0.2 mol of carbon dioxide. If the temperature of the mixture is 300 K, find its pressure.

Chandan Asked Sep 11, 2023

by Chandan

1 Answer

0 Votes

59 Views

Aayush Asked Apr 18

97 views

There are three glass cubes of edges 20 cm, 16 cm and 12 cm respectively. These are melted to form a new cube. Find the edge of the new cube.

Aayush Asked Apr 18

by Aayush

1 Answer

0 Votes

97 Views

Aayush Asked Feb 6

50 views

The surface tension of liquid in CGS system is 70 dyne / cm then what will be its value in SI unit.

Aayush Asked Feb 6

by Aayush

1 Answer

0 Votes

50 Views

ANAND_YADAV Asked Jul 29, 2023

74 views

The edge of a cube is $a=1.2 \times 10^{-2} m$. Then its volume will be recorded as :

ANAND_YADAV Asked Jul 29, 2023

by ANAND_YADAV

1 Answer

0 Votes

74 Views

ANAND_YADAV Asked Aug 2, 2023

108 views

If C represents the capacity of a condenser and if V represents the P.d. across its end then find the dimension of $CV ^{2}$.

ANAND_YADAV Asked Aug 2, 2023

by ANAND_YADAV

1 Answer

0 Votes

108 Views

Ankit Asked Oct 11, 2023

227 views

The area of the circle whose centre is at (1,2) and which passes through the point (4,6) is

Ankit Asked Oct 11, 2023

by Ankit

1 Answer

0 Votes

227 Views

Ankit Asked Sep 20, 2023

136 views

Suppose, S and S' are foci of the ellipse $\frac{x^2}{25}+\frac{y^2}{16}=1$. If P is variable point on the ellipse and if $\Delta$ is area of the triangle PSS', then the maximum value of $\triangle$ is

Ankit Asked Sep 20, 2023

by Ankit

1 Answer

0 Votes

136 Views

Aayush Asked Mar 29

30 views

Parwez (V.P.) has some cocks and goats. If the total numbers of heads and feet are 76 and 212 respectively, then find the number of cocks he has.

Aayush Asked Mar 29

by Aayush

1 Answer

0 Votes

30 Views

Ankit Asked Sep 12, 2023

81 views

The supplement of an angle is one third of the given angle. Find the measures of the given angle and its supplement.

Ankit Asked Sep 12, 2023

by Ankit

1 Answer

0 Votes

81 Views

Aayush Asked Feb 8

30 views

If the value of pressure is $10^{6} dyne / cm ^{2}$ in CGS system, then calculate its value in SI unit.

Aayush Asked Feb 8

by Aayush

1 Answer

0 Votes

30 Views

Shiv roshan kushwaha Asked Apr 22, 2022

436 views

Weight of an object is 294 N on the surface of the earth. What is its weight at a height of 200km from the surface of the earth. (Radius of the earth $=6400 km).

Shiv roshan kushwaha Asked Apr 22, 2022

by Shiv roshan kushwaha

1 Answer

4 Votes

436 Views

ALOK_RAJ Asked Nov 28, 2023

134 views

Stearic acid, C17H35COOH has a density of 0.85 g/cm3. The molecule occupies an area of 0.205 nm2 in a closed packed surface film. Calculate the length of the molecule.

ALOK_RAJ Asked Nov 28, 2023

by ALOK_RAJ

1 Answer

1 Vote

134 Views

LEELADHAR YADAV Asked Aug 30, 2023

61 views

Let $A=R-\{3\}$ and $B=R-\{1\}$. Consider the function $f: A \rightarrow B$ defined by $f(x)=\left(\frac{x-2}{x-3}\right)$. Show that $f$ is oo one and onto and hence find $f^{-1}$.

LEELADHAR YADAV Asked Aug 30, 2023

by LEELADHAR YADAV

1 Answer

0 Votes

61 Views

LEELADHAR YADAV Asked Aug 28, 2023

80 views

If $\mathrm{f}$ be a greatest integer function and $\mathrm{g}$ be an absolute value function. Find the value of $\text { (log) }\left(\frac{-3}{2}\right)+(\text { gof })\left(\frac{4}{3}\right) \text {. }$

LEELADHAR YADAV Asked Aug 28, 2023

by LEELADHAR YADAV

1 Answer

0 Votes

80 Views

Aayush Asked Feb 22

23 views

If ω is a cube root of unity, then $\left|\begin{array}{ccc}x+1 & \omega & a^2 \\ \omega & x+\omega^2 & 1 \\ \omega^2 & 1 & x+\omega\end{array}\right|$ equal to

Aayush Asked Feb 22

by Aayush

1 Answer

0 Votes

23 Views

Aayush Asked Jan 4

46 views

For a saturated solution of AgCl at $25^{\circ} C, k =3.4 \times 10^{-6} ohm ^{-1} cm ^{-1}$ and that of $H _{2} O (\ell)$ used is $2.02 \times 10^{-6} ohm ^{-1} cm ^{-1}$.

Aayush Asked Jan 4

by Aayush

1 Answer

0 Votes

46 Views

ANAND_YADAV Asked Jul 26, 2023

26 views

Two equal and opposite charges $4×10^{-8}C$ are placed $2×10^{-2}$ cm away, from a dipole. If this dipole is placed in an external electric field of $4×10^8NC^{-1}$

ANAND_YADAV Asked Jul 26, 2023

by ANAND_YADAV

1 Answer

0 Votes

26 Views

Ankit Asked Oct 1, 2023

115 views

A car travels 30 km at a uniform speed of 40 km/h and the next speed of 20 km/h. Find its average speed.

Ankit Asked Oct 1, 2023

by Ankit

1 Answer

0 Votes

115 Views

Aayush Asked Mar 29

43 views

The ratio of milk and water in 70 kg mixture is 3: 2. If 14 kg water is mixed with the mixture, then find the ratio of milk and water.

Aayush Asked Mar 29

by Aayush

1 Answer

0 Votes

43 Views

Aayush Asked Feb 22

42 views

The average of 8 numbers is 21.2. The average of first five numbers is 22.3 and last 4 numbers is 19.8. Find the fifth number.

Aayush Asked Feb 22

by Aayush

1 Answer

0 Votes

42 Views

Ankit Asked Sep 18, 2023

104 views

If the focus and vertex of parabola are the points (0,2) and (0,4) respectively, then its equation is

Ankit Asked Sep 18, 2023

by Ankit

1 Answer

0 Votes

104 Views

Aayush Asked Mar 2

42 views

The speed v of a particle moving along a straight line is given by $a+b v^2=x^2$ (where x is its distance from the origin). The acceleration of the particle is

Aayush Asked Mar 2

by Aayush

1 Answer

0 Votes

42 Views

Chandan Asked Sep 12, 2023

98 views

If the binary operation * on the set of integers Z, is defined by a*b = a + 3b^2, then find the value 2 * 4 .

Chandan Asked Sep 12, 2023

by Chandan

1 Answer

0 Votes

98 Views

LEELADHAR YADAV Asked Sep 3, 2023

87 views

Let $f(x)=\log _2 \log _3 \log _4 \log _6\left(\sin x+a^2\right)$. Find the set of values of a for which domain of $f(x)$ is $R$.

LEELADHAR YADAV Asked Sep 3, 2023

by LEELADHAR YADAV

1 Answer

0 Votes

87 Views

ALOK_RAJ Asked Feb 11, 2022

123 views

लंबवृत्तीय शंकु के सम्पूर्ण पृष्ठ का क्षेत्रफल क्या होता है? Lambvritiya Shanku Ke Sampurn Prist Ka Kshetrafal Kya Hota Hai?

ALOK_RAJ Asked Feb 11, 2022

by ALOK_RAJ

1 Answer

7 Votes

123 Views

Aayush Asked Feb 22

31 views

Find the smallest number when it is multiplied by 392, then the product is perfect cube.

Aayush Asked Feb 22

by Aayush

1 Answer

0 Votes

31 Views

Barjes Yadav Asked Feb 22

24 views

A stone of 1 kg is thrown with a velocity of 20 m s¹ across the frozen surface of a lake and comes to rest after travelling a distance of 50 m. What is the force of friction between the stone and the ice?

Barjes Yadav Asked Feb 22

by Barjes Yadav

1 Answer

0 Votes

24 Views

Chandan Asked Aug 6, 2023

130 views

In a class of 50 students, 10 have failed and their average marks are 28 . The total marks obtained by the entire class are 2800 . The average marks of those who have passed are

Chandan Asked Aug 6, 2023

by Chandan

1 Answer

0 Votes

130 Views

Aayush Asked Mar 29

36 views

Rs. 559 is divided into a, b and c in such a way that $2 \times$ part of $a=3 \times$ part of $b=4 \times$ part of c, then find the part of c.

Aayush Asked Mar 29

by Aayush

1 Answer

0 Votes

36 Views

Aayush Asked Jan 5

75 views

In a mixture, the ratio of milk and water is 8: 7. If 11 litres of water is mixed, then the ratio becomes 8: 9. Find the amount of milk in the initial mixture.

Aayush Asked Jan 5

by Aayush

1 Answer

0 Votes

75 Views

Chandan Asked Sep 12, 2023

54 views

Let * be the binary operation on N given by a*b = LCM of a and b. Find the value of 20 * 16 . Is * (i) commutative (ii) associative?

Chandan Asked Sep 12, 2023

by Chandan

1 Answer

0 Votes

54 Views

ASK DOUBTS

Chandan · Answer 1 · 2023-09-19T10:40:19+0000

SOLUTION —

Total surface area of cube

= 6a²=486

a²= 486/6 = 81

a²= 81

a = 9 cm

Lateral surface area of cube

= 4a²

= 4 × 81

= 324 cm²

Diagonal = √3 a

= √3 × 9

= 9√3 cm

The total surface area of a cube is 486 cm^2. Find its lateral surface area and diagonal of the cube.

0 Comments

Please log in or register to add a comment.

Please log in or register to answer this question.

1 Answer

0 Comments

Please log in or register to add a comment.

RELATED DOUBTS

CATEGORIES

POPULAR TAGS