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How many cubic metres of water can be put into a box measuring 3 m x 2 m x 4 m?

In which of the following triangle corresponding altitudes and medians coincides?

Find the length of the diagonal of a rectangle whose sides are 12 cm and 5 cm.

Question 84 (xi)

Simplify

$(4.5a+1.5b{)}^2+(4.5b+1.5a{)}^2$

If $(a+b+c=25)$ and $(ab+bc+ca=59)$

Find the value of

$(a^2+b^2+c^2)$

The GCD of 90x²y³, 15x⁴y and 15y³ is

In the given figure, OABC is a rhombus, three of whose vertices lie on a circle with center O.

If the area of the rhombus is $50\sqrt{3}c{m}^2$, then find the area of the circle. (Take $\pi =3.14$)

Question 3(i)

You are told that 1,331 is a perfect cube. Can you guess with factorization what is its cube root? Similarly guess the cube roots of 4913.

What is the mean of the given data?

$\begin{array}{cc}x& f\\ 4& 10\\ 8& 11\\ 12& 9\\ 16& 13\end{array}$

67² = 4489

667²=444889

6667²=44448889

66667²=4444488889

666667²=444444888889

Statement : The number of 3rd pattern is same as the number of -------------------

In hostel it cost ₹1800 to keep 50 children for 8 week. For what length of time did the cost of keeping 90 children amount to₹21060

If $16\%$ of a number is $72,$ find the number.

Find the capacity of a closed rectangular cistern whose length is 8 m, breadth 6 m and depth 2.5m. Also find the area of the iron sheet required to make the cistern.

A bag contains $7$ balls of same color. What is the correct expression to find the number of ways for selecting $5$ balls?

Find the amount and the compound interest on Rs 10,000 for years at 10% per annum, compounded half yearly. Would this interest be more than the interest he would get if it was compounded annually?

What is the equation of a line passing through (3,2) and having a $y-$intercept of 5?

Which of the following box plots indicate median = 50, lower quartile = 20 and upper quartile = 70?

_____ is a fraction between $\frac{2}{9}$ and $\frac{6}{19}$

When we Insert 2 rational numbers between 8 and 9, the numbers are :

Which of the following is not a property of parallelogram?

Solve:

(a) (b)

(c) (d)

(e) (f)

(g) (h)

(i)

Which one of the following is an algebraic equation?

a) (4xy + 3y)

b) 4xy + 3y - 24

c) 4xy + 6y = 2(2xy + 3y )

d) 4 ( 2x +3 ) + 6x

The GCD of x³-x²+x-1 and x⁴-1 is _____________.

Find the area of the rhombus having each side equal to 10 cm and one of its diagonals equal to 12 cm.

If the circumference of the below circle is $4\pi$ units, then the length of $AB$ is

The ratio 7:20 is expressed in percentage form as:

z is a complex number , then if |z| is given then doing |z|^2 = z (this is a real number only) can l substitute this real number value for z in z^2 where z looks like x+yi .

Basically is x^2+y^2 = (x+yi)^2 ??

What is the cube of 8?

A triangle is constructed such that one of its side 8 cm, another side is of length 5.5 cm and the angle opposite to the side of length 5.5 cm is 40⁰. This construction results in the formation of two triangles. Let us call the third vertex of the smaller triangle as C1 and the third vertex of the bigger triangle as C2, as shown in the image below.

Then find the value of (x + y).

Question 34

The volume of a cylinder becomes ___ the original volume if its radius becomes half of the original radius.

Box I contains $30$ cards numbered $1$ to $30$ and Box II contains $20$ cards numbered $31$ to $50$. A box is selected at random and a card is drawn from it. The number on the card is found to be a non-prime number. The probability that the card was drawn from Box I is: