formulas

• What mathematical topic is being discussed in the notebook?

  Volume of prisms
• What is the formula for the volume of a prism?

  $V =$$\text{CSA} \times L$
• Given that CSA = 108 and L = 12, calculate the volume of the prism.

  • $V =$$\text{CSA} \times L$
  • $V =$$108 \times 12$
  • $V =$$1296 \text{ cm}^3$
• How do you calculate the volume of a rectangular prism using its dimensions?

  • $V =$$\text{length} \times \text{width} \times \text{height}$
  • Example: $7 \times 4 \times 8 =$$224 \text{ cm}^3$
• What does CSA stand for in the formula $V =$$\text{CSA} \times L?$


  Cross-sectional area
• What does 'Area of CS' in the formula $V =$$\text{Area of CS} \times L$ represent?


  The cross-sectional area
• What symbol is used to represent the length of a prism?

  $L$
• What does 'V of prisms' refer to?

  Volume of prisms
• What mathematical concept is denoted by $\frac{\text{Bh}}{2}?$


  The area of a trapezoid
• What is the formula for the area of a trapezoid?

  $\frac{1}{2}(a+b)h$
• What is the surface area of a cube with sides of length 5cm?

  • $SA =$$6 \times \text{side}^2$
  • $SA =$$6 \times 5^2$
  • $SA =$$150 \text{ cm}^2$
• Calculate the surface area of a cuboid with dimensions 4cm, 6cm, and 2cm.

  • $SA =$$2(4 \times 6 + 6 \times 2 + 4 \times 2)$
  • $SA =$$2(24 + 12 + 8)$
  • $SA =$$2(44)$
  • $SA =$$88 \text{ cm}^2$
• How do you calculate the total surface area (SA) of a cylinder?

  • $SA =$$2\pi r^2 +$$2\pi rh$
  • r = radius, h = height
• Calculate the surface area of a cylinder with radius 7cm and height 4cm using the formula $SA =$$2\pi r^2 +$$2\pi rh.$


  • $SA =$$2\pi (7^2) +$$2\pi (7)(4)$
  • $SA =$$2\pi (49) +$$8\pi (7)$
  • $SA =$$98\pi +$$56\pi$
  • $SA =$$154\pi \approx 351.9 \text{ cm}^2$