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What is the dimensions of a rectangular surface when the length is 10 feet more than the width and the area is equal to 144?
Let the width be x and the length be x+10:
x(x+10) = 144 square feet
Multiply out the brackets and bring over 144 to the LHS which will give you a quadratic equation to solve:
x2+10x-144 = 0
Factorising the equation:
(x+18)(x-8) = 0
Therefore: x = -18 or x = 8
Obviously x must be 8
So the dimensions are: width = 8 feet and length = 18 feet
What else can I help you with?
How do you make two shapes have the same surface area but different volumes?
To make two shapes have the same surface area but different volumes, you can manipulate their dimensions while maintaining the surface area constant. For instance, consider a cube and a rectangular prism; by adjusting the length, width, and height of the rectangular prism while keeping its surface area equal to that of the cube, you can achieve different volumes. The cube has equal dimensions, while the rectangular prism can have varied dimensions that lead to a different volume while ensuring the overall surface area remains unchanged.
What is 3d rectangle called?
A 3D rectangle is called a rectangular prism or a cuboid. It has six rectangular faces, with opposite faces being equal in area. The dimensions of a rectangular prism are defined by its length, width, and height.
What are the rectangular shape i the 3D?
In 3D geometry, a rectangular shape typically refers to a rectangular prism, also known as a cuboid. This solid has six rectangular faces, with opposite faces being equal in area. The dimensions of a rectangular prism are defined by its length, width, and height. Other variations, such as rectangular pyramids, also incorporate rectangular bases but taper to a point at the top.
What is meant by rectangular unit vector?
A unit vector has a length (magnitude) equal to 1 (one unit). A rectangular vector is a coordinate vector specified by components that define a rectangle (or rectangular prism in three dimensions, and similar shapes in greater dimensions). The starting point and terminal point of the vector lie at opposite ends of the rectangle (or prism, etc.).
What is difference between a cube and a rectangular prism?
A cube is a special type of rectangular prism where all six faces are squares of equal size, resulting in equal length, width, and height. In contrast, a rectangular prism has opposite faces that are rectangles, which can vary in dimensions, allowing for different lengths, widths, and heights. Essentially, while all cubes are rectangular prisms, not all rectangular prisms are cubes.
How do you make two shapes have the same surface area but different volumes?
To make two shapes have the same surface area but different volumes, you can manipulate their dimensions while maintaining the surface area constant. For instance, consider a cube and a rectangular prism; by adjusting the length, width, and height of the rectangular prism while keeping its surface area equal to that of the cube, you can achieve different volumes. The cube has equal dimensions, while the rectangular prism can have varied dimensions that lead to a different volume while ensuring the overall surface area remains unchanged.
What is 3d rectangle called?
A 3D rectangle is called a rectangular prism or a cuboid. It has six rectangular faces, with opposite faces being equal in area. The dimensions of a rectangular prism are defined by its length, width, and height.
What are the rectangular shape i the 3D?
In 3D geometry, a rectangular shape typically refers to a rectangular prism, also known as a cuboid. This solid has six rectangular faces, with opposite faces being equal in area. The dimensions of a rectangular prism are defined by its length, width, and height. Other variations, such as rectangular pyramids, also incorporate rectangular bases but taper to a point at the top.
What is meant by rectangular unit vector?
A unit vector has a length (magnitude) equal to 1 (one unit). A rectangular vector is a coordinate vector specified by components that define a rectangle (or rectangular prism in three dimensions, and similar shapes in greater dimensions). The starting point and terminal point of the vector lie at opposite ends of the rectangle (or prism, etc.).
What is difference between a cube and a rectangular prism?
A cube is a special type of rectangular prism where all six faces are squares of equal size, resulting in equal length, width, and height. In contrast, a rectangular prism has opposite faces that are rectangles, which can vary in dimensions, allowing for different lengths, widths, and heights. Essentially, while all cubes are rectangular prisms, not all rectangular prisms are cubes.
How do you solve surface area of a rectangular prisem?
Properties of a rectangular prism: * A rectangular prism has a total of 6 surfaces. * Because it is rectangular it will have 4 equal longer edges and 8 equal shorter edges, and so * It will have 4 rectangular faces and 2 square faces, therefore * Total surface area = 2 x square (end ) surface + 4 x rectangular (side) surfaces If we let x = shorter edges (breadth) & y = longer edges (length), and, as area = length x breadth, then * each end (a square surface) will have an area of x2 * each side (rectangular surface) will have an area of xy Thus: Total surface area of the rectangular prism = 2 x end area + 4 x side area = 2x2 + 4xy = 2x(x + 2y) Hope this nswers your question and explains how we arrive at the formula for calculating the total surface area of a rectangular prism.
What is the surface area of this rectangular prism with width M length M and height M?
The surface area ( A ) of a rectangular prism can be calculated using the formula ( A = 2(lw + lh + wh) ), where ( l ) is the length, ( w ) is the width, and ( h ) is the height. If the width, length, and height are all equal to ( M ), then the formula simplifies to ( A = 2(M^2 + M^2 + M^2) = 6M^2 ). Therefore, the surface area of the rectangular prism is ( 6M^2 ).
What is the surface area or a rectangular prism with the measurements of length equal 7 width equals 5 and height equals 2?
118 units^2
What makes the cube and the rectangular prism different?
Cube all sides equal length,: rectangular prism opposite side equal
A rectangular solid that have equal length width height?
cube
Is LBH is equal to LHB?
LBH and LHB refer to the same three dimensions of a rectangular prism: Length (L), Breadth (B), and Height (H). The order of the letters does not change the values or the relationship between the dimensions. Therefore, LBH is equal to LHB in terms of representing the same measurements for the object.
What are the differences between a rectangular prism and a cube?
A cube is a rectangular prism where all sides are of equal length.
