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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 surface area of 1x2x3 cuboid?
The surface area of a cuboid can be calculated using the formula (2(ab + ac + bc)), where (a), (b), and (c) are the dimensions of the cuboid. For a cuboid with dimensions 1, 2, and 3, the surface area is (2(1 \cdot 2 + 1 \cdot 3 + 2 \cdot 3) = 2(2 + 3 + 6) = 2 \times 11 = 22) square units. Therefore, the surface area of the 1x2x3 cuboid is 22 square units.
What is the surface area of a cuboid 2x4x6?
To calculate the surface area of a cuboid, use the formula (2(ab + ac + bc)), where (a), (b), and (c) are the dimensions. For a cuboid with dimensions 2, 4, and 6, the surface area is (2(2 \times 4 + 2 \times 6 + 4 \times 6)). This simplifies to (2(8 + 12 + 24) = 2 \times 44 = 88). Thus, the surface area of the cuboid is 88 square units.
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.
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
What is the surface area of 1x2x3 cuboid?
The surface area of a cuboid can be calculated using the formula (2(ab + ac + bc)), where (a), (b), and (c) are the dimensions of the cuboid. For a cuboid with dimensions 1, 2, and 3, the surface area is (2(1 \cdot 2 + 1 \cdot 3 + 2 \cdot 3) = 2(2 + 3 + 6) = 2 \times 11 = 22) square units. Therefore, the surface area of the 1x2x3 cuboid is 22 square units.
What is the surface area of a cuboid 2x4x6?
To calculate the surface area of a cuboid, use the formula (2(ab + ac + bc)), where (a), (b), and (c) are the dimensions. For a cuboid with dimensions 2, 4, and 6, the surface area is (2(2 \times 4 + 2 \times 6 + 4 \times 6)). This simplifies to (2(8 + 12 + 24) = 2 \times 44 = 88). Thus, the surface area of the cuboid is 88 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.
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.
