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how do u find the surface area of a rectangle? the question is..if the dimensions of the following cart are 4 by 2 by 1.5 and the radii wheels are 3/4 feet what is the surface area of the cart and the outside of the four wheels?

2006-09-17 19:36:47 · 5 answers · asked by *GlensBayB* 2 in Education & Reference Homework Help

5 answers

Are you talking about a 2-dimensional rectangle or a 3-dimensional cube?

To find the surface AREA of a rectangle, multiply the lengh by with.
A= L x W
For a 3-D cube, the VOLUME is given by multiplying length, width, and depth.
V = L x W x D
Area will give you squared units (ex: sq. ft) and Volumes give cubic units (ex: cu. ft.).

In this case, the volume of the cart would be:
V = 4 x 2 x 1.5
= 12 cubic units

For total surface area, there would be six faces, which can be grouped into three sets of two that have matching surface areas.
Two faces of 4x2 = 8 sq units
Two faces of 2x1.5 = 3 sq units
Two faces of 4x1.5 = 6 sq units.
add those up and multiply by two to get
2( 8+3+6) = 2(17) = 34 sq units

For the wheels, if you want the circumference (distance around the outside of the tread) use the equation
C = pi x D
where pi = 3.14159 and D(diameter) is twice the R(radius). In other words:
D = 2 x R

In this case,
C = 3.14159 x 2 x .75ft
= 4.712385 ft

2006-09-17 19:53:50 · answer #1 · answered by jrod6481 1 · 0 0

The area of a rectangle is length times width. For your cart there are 6 such rectangular surfaces. The top and bottom are 4 x 2, the sides are 4 x 1.5 and the front and back are 2 x 1.5. So the surface area of the cart is 2(4 x 2)+2(4 x 1.5)+2(2 x1.5)or 16+12+6=34 square feet. To determine the surface area of the outside of the wheels of radius 3/4 feet you must multiply pi by the radius squared, or 3.1416(3/4 squared). or 3.1416 x 9/16=1.765 sq feet. Since there are 4 wheels, the surface area of the wheels is 4(1.765)=7.06sq ft.So the total surface area of your cart is 34+7.06 or 41.06 sq ft.

2006-09-17 21:18:26 · answer #2 · answered by True Blue 6 · 0 0

The cart has faces that are 4x2, 4x1.5, and 2x1.5, which makes those rectangles each 8, 6, and 3 square feet respectively.
It is not clear if they want the inside surface, outside surface or both. If they are painting, then they need both.
The wheel radius of 3/4 means that the wheel surfaces are each pi x (3/4)(3/4) or about 9xpi/16 square feet.

2006-09-17 19:45:22 · answer #3 · answered by t_e_sumner 3 · 0 0

I'm not math expert but I would assume that you would first find the area of all the sides of the cart (Does it have a roof? Three sides or four sides?) Then find the area of the wheels times 4.
Such as 4x2=8x2=16 sq ft. I don't know the formula for finding the area of a circle but I'm sure you have it somewhere.

2006-09-17 19:45:30 · answer #4 · answered by Ellen J 7 · 0 0

part of a section (sector)= the attitude of the international/ 360 x 2pie radius the completed floor are of a cone is= pie x radius x length + pie x radius(sq.) The curved floor part of a cone= pie x length x radius Curved floor part of a cylinder= 2 x pie x radius x accurate entire floor part of a cylinder= 2 x pie x radius x accurate + 2 x pie x radius (sq.) there's no formula for the exterior are of a pyramid. in basic terms the quantity os a pyramid is calculated.

2016-11-27 21:24:05 · answer #5 · answered by ? 4 · 0 0

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