The C.S.A. and T.S.A. of cylinder are in the ratio 1:2. If the T.S.A of the right cylinder is 616 sq. cm, then find its volume?

Simplify using the laws of exponents:
$left square bracket 64 divided by 16 right square bracket to the power of negative 3 divided by 4 end exponent cross times open curly brackets left square bracket 25 divided by 8 right square bracket to the power of negative 3 divided by 2 end exponent divided by left square bracket 5 divided by 2 right square bracket to the power of negative 3 end exponent close curly brackets$

If $vertical line 2 x plus 3 vertical line equals 5$ and $vertical line 3 y minus 3 vertical line equals 6$ , what is one possible value of $vertical line x y vertical line$ ?

Note:
This problem can have different answers if solved differently. Instead of making $2 x plus 3$ positive, if we took $2 x plus 3 less than 0$ , we would get a different answer. Similarly, $3 y minus 3 less than 0$ for , we get a different value of $vertical line x y vertical line$ . If we take both negative, we will get another answer.
Thus, we can get 4 answers: 1,3, 4, 12.

If $vertical line 2 x plus 3 vertical line equals 5$ and $vertical line 3 y minus 3 vertical line equals 6$ , what is one possible value of $vertical line x y vertical line$ ?

In △ ABC, AB = x and BC = x + 1 . How many possible values are there for x if the perimeter of △ ABC is 14?

A park has the shape of an isosceles triangle. Its sides are x − 1 and x − 2 . The length of its compound is 44 units. Find the possible values of x

A triangular tiffin box is to be designed such that the measure of all angles is equal. What should be the measure of each angle?

Find the mistake in the given image

State whether the lines y = x + 2, y = − x + 3 and y − x = 1 form a triangle or not. Explain
why or why not.

A pillar 14 cm in diameter is 5 m high. How much material was used to construct it?

Simplify using the laws of exponents: Find x so that $7 to the power of left parenthesis 2 x plus 1 right parenthesis end exponent divided by 49 equals 7 cubed$

The measures of the angles of a triangle are $2 square root of 2 x end root comma square root of 2 x end root text and end text 6 square root of 2 x end root$ .
Find the measure of each angle and classify the triangle by its angles.

The area of parallelogram is p sq.cm and height is q cm. A second parallelogram has equal area but its base is r cm more than that of the first Obtain an expression in terms of p, q and r for the height of the second parallelogram.

A poster has an area of 432 square inches. The length , in inches, of the poster is 6 inches longer than the width of the poster. Which of the following equations can be solved to determine the length, in inches, of the poster?

Note:
The question can be further extended and ask us to find the length, breadth, or the perimeter of the poster. In that case, first we would solve the above equation to find the length of the poster and then use it to find the breadth. Finally we can find the perimeter easily by using the formula: perimeter $equals 2 to the power of cross times$ (length + breadth).

A poster has an area of 432 square inches. The length , in inches, of the poster is 6 inches longer than the width of the poster. Which of the following equations can be solved to determine the length, in inches, of the poster?

A Medicine Capsule is in the shape of a cylinder of diameter 0.5 cm with two hemi spheres stuck to each of its ends. The length of entire capsule is 2 cm. Find the capacity of capsule.

The measures of the angles of a triangle are $11 square root of x comma 5 square root of x text and end text 2 square root of x$ .
Write an equation to show the relationship of the angles and find the measure of each angle