Area & Volume - SAT Math

Area = πr^2. $\pi$ times the square of the radius.

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

Area = length × width. The fundamental formula for rectangular area.

Volume = 60. Using $3 \times 4 \times 5 = 60$.

Area = 6π. Using $\frac{60}{360} \times \pi \times 6^2 = 6\pi$.

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

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

Circumference = 14π. Using $2\pi \times 7 = 14\pi$.

Volume = 64. Using $4^3 = 64$.

Volume = 63π. Using $\pi \times 3^2 \times 7 = 63\pi$.

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

Surface Area = 28π. Using $2\pi \times 2(5 + 2) = 28\pi$.

Surface Area = 36π. Using $4\pi \times 3^2 = 36\pi$.

Area = $\frac{\theta}{360}$ × πr². Fraction of full circle based on central angle.

Volume = $\frac{1}{3}$ × base area × height. One-third of prism volume with same base and height.

Surface Area = πr(r + l). Base area plus lateral surface area.

Surface Area = 24π. Using $\pi \times 3(3 + 5) = 24\pi$.

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

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

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

Circumference = 2πr. Two times pi times radius.

Volume = πr²h. Base area times height for circular cross-section.

Surface Area = 6 × side². Six faces, each with area of side squared.

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

Area = $\frac{1}{2}$ × (base₁ + base₂) × height. Average of parallel bases times height.

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

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

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

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

Surface Area = 2lw + 2lh + 2wh. Sum of areas of all six rectangular faces.

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

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

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

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

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

Volume = side³. Side length cubed for equal dimensions.

Volume = $\frac{1}{3}$πr²h. One-third of cylinder volume with same base and height.

Volume = $\frac{4}{3}$πr³. Four-thirds pi times radius cubed.

Surface Area = 2πr(h + r). Two circular bases plus lateral surface area.

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