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What is the volume of a cuboid when its height is in the ratio of 15 to 8 to its width and has a length of 22 cm with a surface area of 2506 square cm showing work?
Wiki User
∙ 10y ago
Suppose the height is 15x cm.
Then the width is 8x cm.
Then the surface area is 2*(15x*8x + 8x*22 + 22*15x) cm2
Therefore 2*(15x*8x + 8x*22 + 22*15x) = 2506
or 15x*8x + 8x*22 + 22*15x = 1253
120x2 + 506x - 1253 = 0
so that x = -529/30 or 13/4
But x cannot be negative so x = 1.75.
Therefore, volume = (15*1.75)*(8*1.75)*22 = 8085 cm3
Wiki User
∙ 10y ago
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How can you use the formula for the surface area of a box to find the surface area of a cube?
The surface area of a box, which is a cuboid, depends on its length, width and height. A cube is a special type of cuboid in which the length , width and height are all the same.
How do you get lateral surface area of cube and cuboid?
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What is the Surface area of box with length x width 2x and height h?
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Which two shapes each have six faces?
cube,cuboid both have the 6 faces.In cube length,breadth and height are equal but in cuboid they are not.
How would you find the volume of a cuboid?
The answer depends on what information you have.If you know the length, breadth and height of the cuboid, the volume is L*B*H cubic units.
How can you use the formula for the surface area of a box to find the surface area of a cube?
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How do you get lateral surface area of cube and cuboid?
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Curved surface area of cuboid?
2(lb+bh) where l=length b=breadth h=height
How do you work out the length and width and height of a cuboid from its surface area?
You cannot. There simply is not enough information to allow you to do so.
How do you find the area of a cuboid?
length *width*height=area of cuboid
How the area of cuboid can be calculated?
Surface area of cuboid = 2*[L*B + B*H + H*L] where L = length, B = breadth, and H = height
Surface area of a cubiod?
the total surface area of a cuboid is : 2(lw+wh+hl) where l is length, w is width, and h is height.
What is the surface area of a room that is 176 inches by 158 inches and 96 inches?
The formula of for the surface area of a cuboid is 2(width*height + length*height + length*width) height = 96 width = 176 length = 158 2(176*96 + 158*96 + 158*176) = 119,744 inches2
Surface area of a cuboid?
Surface area = 2*(L*B + B*H + H*L) cubic unitswhere L = length B = Breadth H = Height.
What is the formula for calculating volume of a cuboid?
the formula for the volume of a cuboid is length x breadth x height
Formulas of cuboid?
Following are the formulas of cuboid. Let the dimensions of the cuboid be l (length), w(width) and h (height). Lateral surface area of the cuboid = perimeter of rectangular base x height = 2(l + w)h square units= 2h(l + w) square units; Total surface area (TSA) = 2 (lw + wh + hl); Volume of cuboid (V) = lwh. Length of diagonal of one side is √(l^2 + w^2), √(w^2 + h^2), √(h^2 + l^2) - depending upon side. Length of diagonal across the cuboid is √(l^2 + w^2 + h^2)
What Formula to find volume of a cuboid?
Volume = Length * Width * Height
