Surface Area and Volume Concepts

In a 30°-60°-90° triangle, what is the ratio of the sides?

• x, x, x√2

• x, x√3, 2x

• x, x, 2x

• x, x√2, x√3

Which of the following is the Pythagorean Theorem?

What is the formula for the sine of an angle in a right triangle?

• opposite / adjacent

• adjacent / hypotenuse

• opposite / hypotenuse

• hypotenuse / adjacent

How does doubling the length of a shape affect its area?

• Doubles the area

• Triples the area

• Quadruples the area

• No change in area

What is the formula for the area of a triangle?

• ½bh

• bh

• 2bh

• b + h

Which of the following is a formula for the area of a trapezoid?

• ½(b1 + b2)h

• b1 + b2 + h

• b1b2h

• 2(b1 + b2)h

What is necessary to find the surface area of 3D figures like prisms and cylinders?

• Only the height

• Only the base area

• Nets and adding the areas of all surfaces

• Only the volume

What is the formula for the surface area of a cylinder?

• 2πr² + 2πrh

• πr² + πrl

• 4πr²

• 4/3πr³

Which formula represents the volume of a sphere?

• V = Bh

• V = 1/3Bh

• V = 4/3πr³

• V = πr²h

How do you calculate the arc length of a circle?

• θ/360 × 2πr

• πr²

• 2πr

• 1/2bh