Asvab math

Perimeter of a square or rectangle

The total distance around the shape, calculated as P = 2l + 2w, where l is the length and w is the width.

Area of a square or rectangle

The amount of space inside the shape, calculated as A = l × w.

Perimeter of a triangle

The total distance around the triangle, calculated as P = a + b + c, where a, b, and c are the lengths of the sides.

Pythagorean theorem

A mathematical statement that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides (a² + b² = c²).

Sum of angles in a triangle

The total measure of the interior angles in a triangle is always 180°.

Diameter of a circle

A straight line passing through the center of a circle, connecting two points on the circumference, calculated as d = 2r, where r is the radius.

Circumference of a circle

The total distance around the circle, calculated as C = 2πr.

Area of a circle

The amount of space inside the circle, calculated as A = πr².

Area of a trapezoid

The area enclosed by a trapezoid, calculated by the formula A = 1/2 (b₁ + b₂)h, where b₁ and b₂ are the lengths of the two bases and h is the height.

Volume of a cube

The amount of space inside the cube, calculated as V = s³, where s is the length of a side.

Volume of a rectangular solid

The space contained within a rectangular solid, calculated as V = l × w × h.

Surface area of a rectangular solid

The total area of the surface of a rectangular solid, calculated as SA = 2lw + 2lh + 2wh.

Volume of a cylinder

The amount of space inside a cylinder, calculated as V = πr²h, where r is the radius and h is the height.

Surface area of a cylinder

The total area of the surface of a cylinder, calculated as SA = 2πrh + 2πr².

Volume of a sphere

The space inside a sphere, calculated as V = (4/3)πr³.

Surface area of a sphere

The total area of the surface of a sphere, calculated as SA = 4πr².