Surface Area

An eccentric individual makes it his life's work to tie a rope around the earth's equator. He buys rope and makes an attempt. A rival of his, not to be outdone, decides to tie a rope around the earth's equator that is elevated from the ground by one metre at all points along the rope. How much more rope does he need? Assume the earth is perfectly spherical.

The length, breadth and height of a cuboid are in the ratio $3 : 4 : 6$ and its volume is $576 {\mathrm{cm}}^3$. Find the whole surface area of the cuboid.

If the incentre of an equilateral triangle lies inside the triangle and its radius is $3 \mathrm{cm}$, then the side of the equilateral triangle is:

The perimeter of a square and a rectangle is$48$ m each. The differences between the areas of the two is $4$ m^$2$. The measurements of the rectangle (in metres) are

A right-angled isosceles triangle is inscribed in a semi-circle of radius $7 \mathrm{cm}$. The area enclosed by the semicircle but exterior to the triangle is:

Two small circular parks of diameters $16 \mathrm{m}, 12 \mathrm{m}$ are to be replaced by a bigger circular park. What would be the radius of this new park, if the new park occupies the same space as the two small parks?

The area of the triangle formed by the three lines $x=4$, $y=3$ and $3x+4y=12$ is equal to:

Which of the following number is correct on the face opposite the face showing $2$. If a dice is thrown four times and its four different positions are given below.

The perimeter of a circle, a square and an equilateral triangle are same, and their areas are C, S and T respectively. Which of the following statement is true?

The area of a square is $441 {\mathrm{m}}^2$. It's side is equal to the radius of a circle. Find the circumference of the circle.

A playground is in the shape of a rectangle. A sum of $₹1000$ was spent to make the ground usable at the rate of$25 paise$ per square metre. The breadth of the ground is $50 metre$. If the length of the ground is increased by $20 metre$, what will be the expenditure in rupees at the same rate per square metre?

The sum of length, breadth and height of a cuboid is $19 \mathrm{cm}$ and its diagonal is $11 \mathrm{cm}$. Find the surface area of the cuboid.

If the side of square is increased by 25%, then the area is increased by -

The paint in a certain container is sufficient to paint an area equal to$9.375 {\mathrm{m}}^2$. How many bricks of dimensions $22.5 \mathrm{cm}\times 10 \mathrm{cm}\times 7.5 \mathrm{cm}$ can be painted out of this container?

If a regular hexagon is inscribed in a circle of radius $r,$ then its perimeter$?$

From a point in the interior of an equilateral triangle, perpendiculars draw to the three sides are $16 \mathrm{cm}$, $25 \mathrm{cm}$ and $28 \mathrm{cm}$ respectively. Find the area of the triangle.

One acute angle of a right-angled triangle is double the other. If the length of its hypotenuse is $10 \mathrm{cm}$, then its area is:

The breath in area of rectangle is:

Find the area of the triangle formed by the graph of $\mathrm{ax} + \mathrm{by} = \mathrm{c}$ (Where a, b are positive real numbers) ?

What is the area of triangle whose sides are $12 \mathrm{cm}$, $10 \mathrm{cm}$ and $8 \mathrm{cm}$?