Mathematical Reasoning

Solve the linear equation: 2x + 5 = 15

Find the value of x in the equation: 3(x + 4) = 27

Using the Pythagorean theorem, find the length of the hypotenuse in a right triangle with legs of length 3 and 4.

A right triangle has a hypotenuse of length 10 and one leg of length 6. Find the length of the other leg using the Pythagorean theorem.

What is the probability of rolling a 3 on a fair six-sided die?

If Kavya, Aarav, and Krish each flip a coin once, what is the probability that all three of them get heads?

Find the surface area of a rectangular prism with dimensions 5 cm, 8 cm, and 10 cm.

Aisha, Mira, and Aarav are playing a game. They have a cylinder with a radius of 4 cm and a height of 10 cm. Can you help them find the surface area of the cylinder?

Find the volume of a cube with side length 6 cm.

Arjun, Sneha, and Eesha are building rectangular prisms with different dimensions. Arjun's prism has dimensions 4 cm, 5 cm, and 7 cm. Sneha's prism has dimensions 3 cm, 6 cm, and 8 cm. Eesha's prism has dimensions 2 cm, 4 cm, and 9 cm. Which prism has the largest volume?