If the length, breadth, and height of a cuboid is 8 cm, 4 cm, and 6 cm, respectively, then the volume (in cm3) of the cuboid is:
192
To find the volume of a cuboid, we use the formula:
\[ \text{Volume} = \text{Length} \times \text{Breadth} \times \text{Height} \]
\[ \text{Volume} = 8 \times 4 \times 6 \]
First, \( 8 \times 4 = 32 \), and then multiply \( 32 \times 6 \):
\[ \text{Volume} = 32 \times 6 = 192 \, \text{cm}^3 \]
The volume of the cuboid is:
\[ \boxed{192 \, \text{cm}^3} \]
If 2x/3 - [5(4x/5 - 4/3)]/2 = 1/3, then what is the value of x?
A two-digit number is 4 times the sum of its digits. If the digits are reversed, the new number is 18 more than the original. What is the number?
The following table shows the sale (in thousands) of different types of helmets by a shop over the given years:
| Type of Helmet/Year | 1998 | 1999 | 2000 | 2001 | 2002 |
|---|---|---|---|---|---|
| A | 78 | 45 | 56 | 63 | 88 |
| B | 58 | 64 | 78 | 60 | 68 |
| C | 46 | 54 | 58 | 64 | 68 |
| D | 76 | 65 | 72 | 78 | 82 |
| E | 87 | 66 | 74 | 80 | 84 |
What was the percentage increase in the sale of Helmets C in 2002 as compared to that in 1999?
If \( A \) is an acute angle, which of the following is equal to: \[ \frac{\sin A}{1 + \cos A} \, ? \]
In a △PQR, the bisectors of ∠Q and ∠R meet at point O, inside the triangle. If ∠QOR = 107°, then the measure of ∠P is:
A dishonest shopkeeper claims to sell salt at a rate of ₹25/kg. The cost price of the salt is ₹25/kg. Not satisfied with this, he tries to make profit by removing 200 gm from each kg. What is the shopkeeper’s gain percentage?
What should be subtracted from p and added to q so that the resulting ratio becomes 1 : 5?
The cost of a pen is five times the cost of a pencil. I bought 8 pens and 4 pencils for Rs. 132. Find the cost of 5 pens and 5 pencils.
Find the value of k, for which the system of equations kx + 3y = 26 and 21x + (k + 2)y = 71 + k has infinitely many solutions.
If 2x 2 + 5x + 1 = 0, then one of the values of \(\frac{1}{2}\left( {x\, - \,\frac{1}{{2x}}} \right)\) is:
7225 Students are sitting in an auditorium in such a way that there are as many students in a row as there are rows in the auditorium. How many students are there in a row in the auditorium?