Find the volume of the hall with 15 m length, 9 m width and 10 m height.

Cube Shape a = side lengths f = face diagonal d = solid diagonal S = surface area V = volume Calculator Use Enter any 1 known variable for a cube into this online calculator to calculate 4 other unknown variables. A cube is a special case where l = w = h for a Units: Note that unitsare shown for convenience but do not affect the calculations. The units are in place to give an indication of the order of the results such as ft, ft 2 or ft 3. For example, if you are starting with a in mm, your calculations will result with V in mm 3, S in mm 2 and d in mm. Formulas for a cube: • Volume of a cube: • V = a 3 • Surface area of a cube: • the area of each face (a x a) times 6 faces • S = 6a 2 • Face diagonal of a cube: • By the pythagorean theorem we know that • f 2 = a 2 + a 2 • Then f 2 = 2a 2 • solving for f we get • f = a√2 • Diagonal of the solid cube: • Again, by the pythagorean theorem we know that • d 2 = a 2 + f 2 • substituting f into this equation we get • d 2 = a 2 + (a√2) 2 = a 2 + 2a 2 = 3a 2 • solving for d we get • d = a√3 A cube is a special case of a For more information on cuboids see: Weisstein, Eric W. "Cuboid." From MathWorld--A Wolfram Web Resource,

Square Pyramid Shape h = height s = slant height a = side length e = lateral edge length r = a/2 V = volume L = lateral surface area B = base surface area S = total surface area Calculate more with Calculator Use Online calculator to calculate the volume of geometric solids including a capsule, cone, frustum, cube, cylinder, hemisphere, pyramid, rectangular prism, sphere and spherical cap. Units: Note that units are shown for convenience but do not affect the calculations. The units are in place to give an indication of the order of the results such as ft, ft 2 or ft 3. For example, if you are starting with mm and you know a and h in mm, your calculations will result with V in mm 3. Below are the standard formulas for volume. Volume Formulas: • Volume = πr 2((4/3)r + a) • Surface Area = 2 πr(2r + a) • Volume = (1/3) πr 2h • Lateral Surface Area = πrs = πr√(r 2 + h 2) • Base Surface Area = πr 2 • Total Surface Area = L + B = πrs + πr 2 = πr(s + r) = πr(r + √(r 2 + h 2)) • Volume = πr 2h • Top Surface Area = πr 2 • Bottom Surface Area = πr 2 • Total Surface Area = L + T + B = 2 πrh + 2( πr 2) = 2 πr(h+r) • Volume = (1/3) πh (r 1 2 + r 2 2 + (r 1 * r 2)) • Lateral Surface Area = π(r 1 + r 2)s = π(r 1 + r 2)√((r 1 - r 2) 2 + h 2) • Top Surface Area = πr 1 2 • Base Surface Area = πr 2 2 • Total Surface Area = π(r 1 2 + r 2 2 + (r 1 * r 2) * s) = π[ r 1 2 + r 2 2 + (r 1 * r 2) * √((r 1 - r 2) 2 + h 2) ] • Volume = a 3 • Surface Area = 6a 2 • Volume = (2/3) πr 3 • Curved Surface ...

Hint: Here, in this question we have to find out the total number of people that can be accommodated in a hall. So, to find the total number of people that can be accommodated in a hall, firstly we have to find out the total volume of the hall. Then dividing this total volume of the hall with the volume required for each person will give us the number of people that can be accommodated in the hall. Complete step by step solution: The dimensions of the hall are length 40m, breadth 25m and height 20m. Now, calculating the total volume of the hall\[\] where, L is the length, B is the breadth, H is the height of the cuboid.

Click save settings to reload page with unique web page address for bookmarking and sharing the current tool settings ✕ Flip tool with current settings and calculate length, width or height Sorry, a graphic could not be displayed here, because your browser does not support HTML5 Canvas. Related Tools • • • • • • • Contents • • • • • • • • • • • • • • • • • User Guide This online tool calculates the volume of a rectangular shaped box, solid or space from the dimensions of length, width and height. There is no need to input values in the same measurement units, just select your preferred units for each dimension and calculated volume. Once the measurements have been entered for length, width and height, the calculated volume will be shown in the answer box. Also a graphic will be shown of a scaled 3D drawing to the correct proportions and labelled with each dimension and calculated volume. Formula The formula used by this calculator to calculate the volume of a rectangular shaped object is: V = L · W · H Symbols • V = Volume • L = Length • W = Width • H = Height Volume Dimensions – Length, Width & Height Enter the measurement of length, width and height for the rectangular shape. The following SI unit conversion factors in metres (m) are used for converting the measurement units specified for length, width and height: SI Metric Prefix Length Units • quectometre (qm) – 1 x 10 -30 m • rontometre (rm) – 1 x 10 -27 m • yoctometre (ym) – 1 x 10 -24 m • zeptometre (zm) – 1 x 10 -2...

Enter Length(l) : Enter Width(w) : Enter Height(h) : Volume: u n i t s 3 Volume of Cuboid Calculator is a free online tool that displays the cuboid volume. BYJU’S online volume of cuboid calculator tool makes the calculation faster and it displays the volume of the cuboid in a fraction of seconds. How to Use the Volume of Cuboid Calculator? The procedure to use the volume of cuboid calculator is as follows: Step 1: Enter the length, width and height in the input field Step 2: Now click the button “Solve” to get the volume Step 3: Finally, the volume of a cuboid will be displayed in the output field What is Meant by Volume of Cuboid? In Mathematics, a cuboid is a three-dimensional figure which has 6 faces, 12 edges, and 8 vertices. The cuboid is the three-dimensional form of the 2D shape called a rectangle. When a rectangle is rotated about its axis, the cuboid is formed. The other name to represent the cuboid is a rectangular prism. The volume of a cuboid is the region occupied by the cuboid shape. The volume of a cuboid formula is given by, The volume of a cuboid = Length × Width × Height Cubic units.

\( \newcommand\) • • • • • • • 3-D figures with 2 congruent bases in parallel planes and rectangles for their other faces. Prisms A prism is a 3-dimensional figure with 2 congruent bases, in parallel planes, in which the other faces are rectangles. Figure \(\PageIndex\) Surface Area To find the surface area of a prism, find the sum of the areas of its faces. The lateral area is the sum of the areas of the lateral faces. The basic unit of area is the square unit. \(Surface Area=B_\) Volume To find the volume of any solid you must figure out how much space it occupies. The basic unit of volume is the cubic unit. For prisms in particular, to find the volume you must find the area of the base and multiply it by the height. Volume of a Prism: \(V=B\cdot h\), where \(B= area\: of\: base\). Figure \(\PageIndex\) What if you were given a solid three-dimensional figure with two congruent bases in which the other faces were rectangles? How could you determine how much two-dimensional and three-dimensional space that figure occupies? Example \(\PageIndex\) Example \(\PageIndex\) Even though the height in this problem does not look like a “height,” it is because it is the perpendicular segment connecting the two bases. Review • What type of prism is this? Figure \(\PageIndex\) Vocabulary Term Definition lateral edges Edges between the lateral faces of a prism. oblique prism A prism that leans to one side and whose height is perpendicular to the base’s plane. prism is a 3-dimensional f...