General Mathematics Formula Memorization Sheet

A comprehensive review of surface area, volume, frustum, and currency conversion formulas based on the General Mathematics Formula Memorization Sheet.

What is the master formula for the Total Surface Area ($TSA$) of a solid?

$$TSA = LSA + \text{base(s)}$$

What is the general volume ($V$) formula for 'Straight' solids like prisms?

$$V = Bh$$

What is the general volume ($V$) formula for 'Pointy' solids like pyramids or cones?

$$V = \frac{1}{3}Bh$$

What is the volume ($V$) formula for a sphere?

$$V = \frac{4}{3}\pi r^3$$

For a cube with side length $a$, what are the formulas for Lateral Surface Area ($LSA$) and Total Surface Area ($TSA$)?

$LSA = 4a^2$ and $TSA = 6a^2$

What is the formula for the Total Surface Area ($TSA$) of a rectangular prism?

$$TSA = 2(lw + lh + wh)$$

What is the formula for the Lateral Surface Area ($LSA$) of a triangular prism?

$$LSA = (S1 + S2 + S3)l$$

What is the formula for the Lateral Surface Area ($LSA$) of a pyramid?

$$LSA = \frac{1}{2}ps$$

What is the formula for the Total Surface Area ($TSA$) of a cylinder?

$$TSA = 2\pi rh + 2\pi r^2$$

For a cone, what is the formula for the Lateral Surface Area ($LSA$)?

$$LSA = \pi rs$$

What is the volume ($V$) formula for a cylinder?

$$V = \pi r^2h$$

What is the volume ($V$) formula for a hemisphere?

$$V = \frac{2}{3}\pi r^3$$

What is the formula for the Lateral Surface Area ($LSA$) of a general frustum?

$$LSA = \frac{1}{2}(P1 + P2)s$$

What is the volume ($V$) formula for a pyramidal frustum?

$$V = \frac{h}{3}(B1 + B2 + \sqrt{B1B2})$$

What is the volume ($V$) formula for a conical frustum?

$$V = \frac{\pi h}{3}(R^2 + Rr + r^2)$$

What is the formula for converting Home Currency ($H$) to Foreign Currency ($F$) using an exchange rate ($R$)?

$$H \times R = F$$

In the context of the provided formulas, what do the variables $B$, $P$, $h$, and $s$ represent?

$B$ is base area, $P$ is perimeter, $h$ is perpendicular height, and $s$ is slant height.