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Does a rectangular prism with a volume of 12cm3 and a base of 4cm2 has a height of 3cm?

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Yes.

Posted on Aug 22, 2014

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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?


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

Dec 07, 2016 | Office Equipment & Supplies

1 Answer

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

Dec 18, 2013 | Computers & Internet

1 Answer

How do you calculate cubic feet?


You calculate a volume. If all the lengths, radii, heights are in feet the resulting volume is in cubic feet.
Example: Right rectangular prism with L=5 ft, W= 3 ft, height =1.5 ft
Volume =(5 ft)*(3 ft)*(1.5 ft)= (5*3*1.5) (ft*ft*ft)=22.5 ft^3

Nov 19, 2013 | Office Equipment & Supplies

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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

Oct 29, 2013 | Computers & Internet

1 Answer

Area


A hexagonal based prism has a lateral area that is made up of 6 rectangular faces. If the hexagon at the base is regular, all the lateral rectangles are congruent (identical).
To calculate the lateral area of one of the rectangular faces you need to multiply the length of a side (s) of the regular hexagon by the height (h).
For the lateral area of the prism use A_l=6*s*h=P_b*h, where P_b is the perimeter of the base.
Sorry I cannot proceed further, because "using the area and the height?" is not clear enough for me.

May 22, 2013 | Computers & Internet

1 Answer

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

Mar 05, 2013 | Computers & Internet

1 Answer

What is the surface area and volume for 14ft 12ft 3ft?


If that is a right rectangular prism
Volume =14*12*3 c.f.
For the area here is the formula.
Total area of right rectangular prism =2*A_b +P_b*h
A_b= area of base (take 14*12 feet squares)
P_b is perimeter of base (14+12)*2 =52 ft.
h is the height (3 ft)
Lateral area =P_b*h=52*3 feet square
Add all areas.

Mar 05, 2013 | SoftMath Algebrator - Algebra Homework...

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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

Jan 15, 2011 | MathRescue Word Problems Of Algebra Lite

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