Solid shapesSolid shapes

A solid shape refers to a 3-dimensional A solid shape refers to a 3-dimensional figure having the length, width and breadth figure having the length, width and breadth measurements. Some of the common solid measurements. Some of the common solid shapes include: pyramids, cubes and shapes include: pyramids, cubes and spheres for instance a ball, a box, a dice spheres for instance a ball, a box, a dice and a cuboids and a cuboids

INTRODUCTIONINTRODUCTION

TOTAL SURFACE AREA(TSA)TOTAL SURFACE AREA(TSA)Total surface are is the sum of the areas of all the sides of Total surface are is the sum of the areas of all the sides of

Three dimensional figureThree dimensional figure LATERAL SURFACE AREA (LSA)LATERAL SURFACE AREA (LSA)Lateral area refers to the surface area of a 3D object such as Lateral area refers to the surface area of a 3D object such as

prism, cylinder, cone etc., Lateral surface area is the sum prism, cylinder, cone etc., Lateral surface area is the sum of all sides of a 3D object except its top and bottom bases.of all sides of a 3D object except its top and bottom bases.

VOLUMEVOLUME

The amount of 3-dimensional space an object The amount of 3-dimensional space an object occupies. Capacity.occupies. Capacity.

Components for solid shapesComponents for solid shapes CubeCube

CuboidCuboid ConeCone

CylinderCylinder PyramidPyramid PrismPrism spheresphere

CUBECUBE

THE TSA OF CUBE IS THE TSA OF CUBE IS ==6A6A22

The LSA OF CUBE IS The LSA OF CUBE IS =4A=4A22

VOLUME OF CUBEVOLUME OF CUBE =A =A 3 3

CUBOID Lateral surface area of the

cuboid = perimeter of rectangular base * height= 2(l + w)h square units= 2h(l + w) square units

Total surface area of the cuboid= lateral surface area + area of base + area of top= [2h(l + w) + lw + lw] square units= (2hl + 2hw + 2lw) square units= [2(lh + wh + lw)] square units

CONE

Total surface area = rlπ + πr² lateral surface area of a cone = πrl Volume of a cone

Cylinder

The total surface area (TSA) of a cylinder with radius r and height h is

LSA OF CYLINDER=2πrh Volume OF CYLINDER=

πr2h

PYRAMID

TOTAL SURFACE AREA =

LATERAL SURFACE AREA=

VOLUME=Area of the base * Height * 1/3

PRISM

TOTAL SURFACE =LSA + 2B (lateral surface area x area of the base)

Lateral surface area =p x h (perimeter of the base x the height)

VOLUME=B x h (area of the base x height)

SPHERE

TOTAL SURFACE AREA=4πr2

VOLUME=4/3πr3

BY ARJUN RASTOGI CLASS 7