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Anibal de la garza Posted on Dec 07, 2016
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Rectangular prism is made from centimeter cubes. What are the dimensions of the prism width x length x height? What is the surface area of the prism? What is the volume of the prism?

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paulgbrandon

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  • Posted on Dec 09, 2016
paulgbrandon
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Dimension of the prism is the number of cubes in width x length x height.

Surface area is 2(w x l) + 2(l x h) + 2 (wxh)

Volume is the number of cubes.

Good luck,

Paul

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IF LENGTH and WIDTH are given How to find Hight

Never. Even if it a regular shape.
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What is the rectangular prism total surface formula

Note the prism has Length, Width, Height

A = 2( WL + WH + LH )
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Volume of rectangle formula

A rectangle is a two-dimensional figure and doesn't have a volume. It has an area equal to length times width. A rectangular prism has a volume equal to length times width times height.
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Volume of rectangular prism

Volume =(Area of base)*Height.
Since it is rectangular prism, the base has the shape of a rectangle (Length L, Width W). Its area is L*W
Conclusion: Volume of a right rectangular prism with dimensions L, W, H, is L*W*H
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The volume of a rectangular prism is 2,058 cubic cm. The length of the prism is 3 times the width. The height is twice the width. Find the length of the prism

Right Rectangular prism, Length L, width W, Height H
Volume=2058 cm^3=L*W*H
However
L=3W, and H=2W
(3W)*W*(2W)=6 W^3=2058
W^3=(2058/6)=343
W=Cube root of 343=(343)^(1/3)=7 cm
L=3*7=21 cm
H=2*7=14 cm
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What is the volume of 4in,9in,6in

Assumning that you have a rectangular based prism, you get the volume by multiplying the three dimensions (Volume =length*width*height). In this case Volume= 4*9*6=216 cubic inches
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2answers

Surface area of a rectangular prism whose length is 7 cm.,width is 4 cm., and thickness is 5 cm.?

Since the 'base' and 'top' of any prism have the same shape, the surface area can be found by
  • surface area of prism = 2 * area of base + perimeter of base * H
So for the rectangular prism in your example..
  • surface area = 2LW + 2(L+W)H
  • = 2 * 7 * 4 + 2*(7+4)*5
  • = 56 + 2 * 11 * 5
  • = 56 +110
  • = 166 sq cm
Hope this helps
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What is rectangular prism?

Hello
Rectangular Prism/Cuboid Definition:
A Rectangular Prism/Cuboid is a solid figure bounded by six rectangular faces, a rectangular box. All angles are right angles, and opposite faces of a cuboid are equal. It is also a right rectangular prism.

Rectangular Prism/Cuboid Formula:
Area of Base(A) = l * w
Perimeter of Base(P) = 2l + 2w
Surface Area of Prism = 2(lw) + (2l + 2w)h = 2A + Ph
Volume of Prism = lwh = Ah
Diagonal of Prism = Sqrt(l² + w² + h²)
where
l = length, w = width, h = height

Hope this helps, if so do rate the solution
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