Formulas SURFACE AREAS AND VOLUMES Class: - 10th (chapter: - 13th) Mathematics SR. No. Name Shape Lateral/curved Surface area Total surface area Volume 1. Cuboid 2lh+2hb or 2h(l+b) 2lb+2bh+2hl or 2(lb+bh+hl) lbh 2. Cube 4a2 4a2+2a2 or 6a2 a3 3. Cylinder 2πrh 2πr2+2πrh Or 2πr(r+h) Πr2h 4. Right circular ...
The surface area of a right cylinder is 100 cm2. If the height is 5 cm, find the radius of the base. Draw a net for the cylinder and find its surface area. 5 2 100=2𝜋 N2+2𝜋 N5 ... Remember this to verify the formulas we are learning today. 29. Volume of a Prism
Surface Area Formulas Solid Surface Area Cube 6s2 Rectangular Prism 2LW +2LH +2WH Right Triangular Prism (Base Perimeter)h+2(Base Area) Pyramid Base Area + Lateral ...
Lateral area is the surface area minus the area of the bases. The lateral area consists of only the area of the lateral faces of a prism. Volume of a prism: V=Bh where B is the area of the base and h is the height. Right Cylinder Surface area of a right cylinder: S=2B+Ch or S=2πr2+2πrh where S is the total surface area, 2B is twice the area ...
SURFACE AREA (USING FORMULAS) DISCUSSION QUESTIONS The formula for the surface area of a cube is 6s2. If a side of the cube measures 3 m, how can you find the surface area of the whole cube? First calculate the power before multiplying by 6. 6s2means 6 x s x s, and since s = 3, the expression becomes 6(3)2or6 x 3 x 3= 48 m2.
Volume and Surface Area of Right Circular Cylinders (2 of 5) Surface Area Formula: Below is a picture of a cylinder cut open lengthwise and then around the top and bottom. The total surface area (TSA) consists of the area of two circles and a rectangle. The length of the rectangle is actually the circumference of the circles, and the
11) Find the volume and surface area of the triangular prism: 12) Find the surface area: (diagram not drawn to scale!) 4 ft 10 inches 2 yds 13) The diameter of a cone's base is 10 inches. The slant height makes a 50 degree angle with the diameter of the base. What is the volume and surface area of the cone? 14) Three tennis balls come in a ...
The total surface area of the triangular prism is the lateral area plus the area of the two bases. Total Surface Area Lateral Area Area of Bases=+2 11( )( ) ( )( ) =+ +72 34 34 22 7266=++ ... formula for the area of a regular polygon). The apothem, a, has a length of 4 3 in. (For a detailed description of how to find the apothem and area of a
Area Volume Perimeter Surface Area Formulas PDF + Printable. Area Perimeter Volume and Surface Area Formulas. An online geometry formulas in pdf format. Angles. A right angle is made up of 90 degrees.A straight line is made up of 180 degrees.If two lines intersect, the sum of the resulting four angles equals 360.
Surface Area and Volume Formulas - Free download as Word Doc (.doc / .docx), PDF File (.pdf), Text File (.txt) or read online for free. This document provides formulas for calculating the surface area and volume of basic geometric shapes including cuboids, cubes, cylinders, cones, spheres, and hemispheres. For each shape, the total surface area, curved surface area, and volume are defined in ...
Surface Area of Cuboid of Length L, Breadth B and Height H 2( LB + BH + LH ). Lateral surface area of the cuboids 2( L + B ) H Diagonal of the cuboids Volume of a cuboids LBH Length of all 12 edges of the cuboids 4 (L+B+H). Surface Area of Cube of side L 6L 2 Lateral surface area of the cube 4L 2 Diagonal of the cube √3 Volume of a cube L3
Geometric Formulas Perimeter Area Lateral Area Surface Area Volume distance around the outside (the fence) space on the inside (the yard) the area of the sides of an object ... S = total surface area V = volume d = diameter r = radius l = length w = width. b = base of the triangle. h = perpendicular height of the triangle. s = side length. ½ b ...
b is the area of the base Surface Area: Add the area of the base to the sum of the areas of all of the triangular faces. The areas of the triangular faces will have different formulas for different shaped bases. Cones Volume = 1/3 area of the base x height V= r2h Surface S = r2 + rs = r2 + r√ Sphere Volume V = r3 Surface
1 Formula Sheet area of a circle = ∏r2 area of a triangle = area of a rectangle or square = length X width surface area of a cylinder = 2 X ∏r2 + 2∏rXheight surface area of a rectangular prism = add up areas of all rectangular sides
S is the surface area, B is the area of the base, L and πrl are the lateral area of the cone. Volume of a right cone: V= 1 3 Bh or V= 1 3 πr2h where B is the area of the base and h is the height of the cone. Sphere Surface area of a sphere: S=4πr2 Where S is the surface area of a sphere and r is the radius. Volume of a sphere: V= 4 3