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Discover essential geometric formulas for calculating area, perimeter, surface area, and volume of shapes such as rectangle, square, parallelogram, triangle, prism, and cube. Easy-to-understand explanations and examples included.
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A = length x width = lw or A = base x height = bh The area of a rectangle equals its length times the width (base times theheight).
Width (w) Length (l)
Side (s) Side (s)
The perimeter of a rectangle equals the sum of its length and width multiplied by two.
Width (w) Length (l)
The perimeter of a square equals 4 times the length of a side.
Side (s) Side (s)
The area of a parallelogram equals the product of its base (b) and height (h). The base and height must form a right angle (90º).
height (h) base (b) right angle (90º)
The area of a triangle equals halfof the product of base (b) and height (h). Its base and height must form a right angle (90°).
height (h) right angle (90º) base (b)
Surface area is the total area of the surfaces of a solid figure. • Surface area is measured in square units ( ) Top Right Front
TOP RIGHT BACK LEFT FRONT BOTTOM
BACK TOP LEFT SIDE RIGHT SIDE BOTTOM FRONT
TOP is congruent to BOTTOM • RIGHT is congruent to LEFT • FRONT is congruent to BACK
6 cm 4 cm 8 cm
height (h) width (w) length (l) Formula for Surface Area of Rectangular Prism Area = 2(lw + lh + wh)
Side Surface Area of a Cube = 6 x side² Surface Area of a Cube = 6s²
Volume is the measurement of the number of cubic units ( ) that make up a solid figure. • Volume measures how much room a solid figure takes up in space. • Volume also measures how much room is in a solid figure (capacity).
The volume of a rectangular prism equals its length timeswidth times height. Volume = length x width x height
HEIGHT WIDTH LENGTH
height (h) width (w) length (l)
Side Volume = side x side x side Volume = s³
Volume = side x side x side = side³= s³ Volume = 5 inches x 5 inches x 5 inches = 125 inches³ 5 inches