SAT Math Flashcards: Area And Volume

What this deck covers

This deck focuses on Area And Volume, giving you a quick way to review the definitions, rules, and examples that matter most for SAT Math.

How to use these flashcards

Work through these flashcards in short sessions. Try to answer each prompt before flipping the card, then revisit any cards you miss until the explanation feels automatic.

Flashcard 1: Calculate the volume of a cube with side length 3.

Answer: Volume = 27. Cube the side length: $3^3 = 27$.

Flashcard 2: What is the area formula for a triangle?

Answer: $Area = \frac{1}{2} \times base \times height$. Half the product of base and perpendicular height.

Flashcard 3: State the formula for the volume of a cylinder.

Answer: Volume = $\pi r^2 h$. Base area times height: $\pi r^2 \times h$.

Flashcard 4: Find the surface area of a cube with side length 5.

Answer: Surface Area = 150. Using $6 \times 5^2 = 150$.

Flashcard 5: What is the formula for the surface area of a sphere?

Answer: Surface Area = 4πr². Four times the area of a great circle.

Flashcard 6: Calculate the area of a triangle with base 10 and height 6.

Answer: Area = 30. Using $\frac{1}{2} \times 10 \times 6 = 30$.

Flashcard 7: Find the area of a parallelogram with base 7 and height 3.

Answer: Area = 21. Using $7 \times 3 = 21$.

Flashcard 8: What is the formula for the area of a parallelogram?

Answer: $Area = base \times height$. Base times the perpendicular height to that base.

Flashcard 9: State the formula for the volume of a cylinder.

Answer: Volume = πr^2h. Base area times height: $\pi r^2 \times h$.

Flashcard 10: Determine the area of a circle with radius 5.

Answer: Area = 25π. Use $\pi r^2$: $\pi \times 5^2 = 25\pi$.

Flashcard 11: What is the formula for the volume of a prism?

Answer: Volume = base area × height. Base area times perpendicular height.

Flashcard 12: What is the volume of a sphere with radius 6?

Answer: Volume = 288π. Using $\frac{4}{3}\pi \times 6^3 = 288\pi$.

Flashcard 13: State the formula for the area of a trapezoid.

Answer: Area = $\frac{1}{2} \times (base_1 + base_2) \times height$. Average of parallel bases times height.

Flashcard 14: Calculate the volume of a cone with radius 4 and height 9.

Answer: Volume = 48π. Using $\frac{1}{3}\pi \times 4^2 \times 9 = 48\pi$.

Flashcard 15: Calculate the volume of a prism with base area 15 and height 8.

Answer: Volume = 120. Using $15 \times 8 = 120$.

Flashcard 16: Find the volume of a pyramid with base area 10 and height 6.

Answer: Volume = 20. Using $\frac{1}{3} \times 10 \times 6 = 20$.

Flashcard 17: What is the formula for the volume of a prism?

Answer: Volume = base area × height. Base area times perpendicular height.

Flashcard 18: What is the area of a circle with radius 5?

Answer: Area = $25\pi$. Using $\pi \times 5^2 = 25\pi$.

Flashcard 19: Identify the formula for the surface area of a cube.

Answer: Surface Area = $6 \times \text{side}^2$. Six faces, each with area of $\text{side}^2$.

Flashcard 20: Identify the formula for the surface area of a cone.

Answer: Surface Area = $\pi r(r + l)$. Base area plus lateral surface area.

Flashcard 21: Identify the formula for the lateral surface area of a cylinder.

Answer: Lateral Surface Area = 2πrh. Only the curved side surface, excluding bases.

Flashcard 22: State the formula for the area of a sector of a circle.

Answer: Area = $\frac{\theta}{360} \times \pi r^2$. Fraction of full circle based on central angle.

Flashcard 23: What is the lateral surface area of a cylinder with radius 4 and height 10?

Answer: Lateral Surface Area = 80π. Using $2\pi \times 4 \times 10 = 80\pi$.

Flashcard 24: Calculate the surface area of a rectangular prism with dimensions 2, 3, 4.

Answer: Surface Area = 52. Using $2(2 \times 3 + 2 \times 4 + 3 \times 4) = 52$.

Flashcard 25: Identify the formula for the area of a parallelogram.

Answer: Area = base × height. Same as rectangle when base and height are perpendicular.

Flashcard 26: Find the area of a rectangle with length 8 and width 5.

Answer: Area = 40. Using $8 \times 5 = 40$.

Flashcard 27: Calculate the area of a trapezoid with bases 6 and 8, height 4.

Answer: Area = 28. Using $\frac{1}{2} \times (6 + 8) \times 4 = 28$.

Flashcard 28: Identify the formula for the volume of a rectangular prism.

Answer: Volume = length × width × height. Product of all three dimensions.

Flashcard 29: Calculate the volume of a prism with base area 15 and height 8.

Answer: Volume = 120. Using $15 \times 8 = 120$.

Flashcard 30: What is the formula for the area of a triangle?

Answer: Area = $\frac{1}{2}$ × base × height. Half the product of base and height.