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What are the values of x and y of a cuboid with dimensions of 1 cm by x cm by y cm with a volume of 12 cubic cm and a surface area of 38 square cm showing work?
Volume: 1*x*y = 12 or as xy = 12
Area: (2*1*x)+(2*x*y)+(2*1*y) = 38 or as x+xy+y = 19
So: x+12+y = 19 => x+y = 7 and y = 7-x
So: x(7-x) = 12 => 7x-x2-12 = 0
Solving the quadratic equation: x = 3 or x = 4
Values by substitution: when x = 3cm then y = 4cm
What else can I help you with?
What is the square feet of 26 feet x 54 feet and 10 inches deep?
There are three measures given but the shape is not specified. I shall assume that it is a cuboid (rectangular prism).The total surface area of the shape is 2941.33... square feet.There are three measures given but the shape is not specified. I shall assume that it is a cuboid (rectangular prism).The total surface area of the shape is 2941.33... square feet.There are three measures given but the shape is not specified. I shall assume that it is a cuboid (rectangular prism).The total surface area of the shape is 2941.33... square feet.There are three measures given but the shape is not specified. I shall assume that it is a cuboid (rectangular prism).The total surface area of the shape is 2941.33... square feet.
What is the formula for finding the area of a cuboid?
The total surface area of a cuboid with edges of length a, b and c units is 2*(ab + bc + ca) square units.
How do you calculate the dimensions of a square pyramid with a surface area of 350cm2?
There is not enough information to calculate the dimensions.
What is the closed surface area of a cuboid?
It is the sum of each of the six square faces. Each face has an area of s2 square units where s is the side length. So the total surface area is 6s2 square units.
What is the similarity between a cuboid and a square based pyramid?
Both a cuboid and a square-based pyramid are three-dimensional geometric shapes. They share the characteristic of having a square base, with the cuboid having equal-length edges and right angles, while the pyramid has triangular sides that converge at a single apex. Additionally, both shapes can be defined by their height, and their volume can be calculated using specific formulas related to their dimensions.
Formula of surface area of cuboid?
Let its dimensions be a, b and c:- Surface area of the cuboid: 2*(a*b)+2*(b*c)+2*(a*c) in square units
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)
Is a square prism a cuboid?
A square prism is always a cuboid.
What is the square feet of 26 feet x 54 feet and 10 inches deep?
There are three measures given but the shape is not specified. I shall assume that it is a cuboid (rectangular prism).The total surface area of the shape is 2941.33... square feet.There are three measures given but the shape is not specified. I shall assume that it is a cuboid (rectangular prism).The total surface area of the shape is 2941.33... square feet.There are three measures given but the shape is not specified. I shall assume that it is a cuboid (rectangular prism).The total surface area of the shape is 2941.33... square feet.There are three measures given but the shape is not specified. I shall assume that it is a cuboid (rectangular prism).The total surface area of the shape is 2941.33... square feet.
What is the formula for finding the area of a cuboid?
The total surface area of a cuboid with edges of length a, b and c units is 2*(ab + bc + ca) square units.
How do you calculate the dimensions of a square pyramid with a surface area of 350cm2?
There is not enough information to calculate the dimensions.
How many square faces does a cuboid have?
A cuboid can have 2, 4 or 6 square faces.
Surface area of cuboid and cube?
For a cuboid, the total surface area = 2*(L*B + B*H + H*L) square units where L = length, B = breadth and H = height.In the case of a cube, L = B = H and so the total surface area is 6*L^2 square units.
What is the difference between a square and a cuboid?
A square is a 2-dimensional figure, a cuboid is 3-dimensional.
What is the closed surface area of a cuboid?
It is the sum of each of the six square faces. Each face has an area of s2 square units where s is the side length. So the total surface area is 6s2 square units.
How do you calculate the surface area of a cuboid 2 by 3 by 4?
You imagine the cuboid, (which will have 6 faces) and work out the dimension of the edges for each individual face (there will be pairs of opposite faces with identical dimensions):3 * 4 = 123 * 4 = 123 * 2 = 63 * 2 = 62 * 4 = 82 * 4 = 812 + 12 + 6 + 6 + 8 + 8 = 52So the surface area is 52 square units.
Total surface area of a cuboid?
With sides of length A, B and C units, the total surface area is 2*(AB + BC + CA) square units.
