Two cubes whose edges measure 3 cm, 4 cm and 5 cm respectively to form a single cube.Find its edge.Also, Find the surface area of the new cube.

Q: A big cube is made of 216 smaller cubes of length 1 cm. If the centre cube on each face and all…

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Q: If the volume of a sphere is 36 cm. Find its surface area.

A: Calculation of Surface Area.

Q: Find the perimeter of a hexagon whose radius is 24.3.

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Q: A circular, 8-slice pizza is placedinasquare box that has dimensions four inches larger than the…

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Q: A tank shaped like a right circular cone, vertex down, is 9 feet high and has

A: Given: Let h metres be the height of right circular cone. And d metres is diameter at time t. Then…

Q: Two cubes whose edges measure 3 cm, 4 cm and 5 cm respectively to form a sing le cube.Find its…

A: As three side lengths are given some there are three cubes form a single cube.  Here, simply equate…

Q: Which has the greatest surface area: two pizzas that have 10 inch diameters or one pizza that has a…

A: The diameter of the small pizzas is 10 inch and that of larger one is 20 inch. So, the radius of…

Q: Find the area of the largest isosceles trapezoid inscribed in a semicircle of radius 4 inches if its…

A: Area of trapezoid

Q: Find the total area (surface area) of a regular tetrahedron if each edge has a length of 6 in.

A: Length of an edge of a regular tetrahedron is 6 inches.

Q: Find the surface area of a sphere with a great circle that has an area of 29,115.6.

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Q: Give the dimensions of a box with 5 sides that has a surface area of 300 cm? and holds the largest…

A: Let the dimension of the box is l×b×h, so the surface area of five-sided box is: S=2lb+2bh+lh Given,…

Q: A farmer plans to use 180 feet of fencingto enclose a rectangular region, using part of a straight…

A: Given:A farmer plans to use 180 feet of fencing to enclose a rectangular region, using part of a…

Q: Find the area of the largest rectangle that can be inscribed in an equilateral triangle of side…

A: Given: A rectangle inscribed in an equilateral triangle of side L assuming one side of the rectangle…

Q: Find the area of the largest rectangle that fits inside a circle of radius 3

A: Given: Radius of a circle r=3

Q: A rectangular pool 3.5m by 6.9m is sorounded by a 1.2m wide sidewalk. find the area of the sidewalk?

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Q: Find the largest possible area of a rectangle that be found in a circle whose diameter is (4).

A: The largest possible are of a rectangle that be found in a circle whose diameter is 4.

Q: find the area of the largest square that can be cut from a circle of radius of 4 in

A: To Determine: find the area of the largest square that can be cut from a circle of radius of 4…

Q: Find the total area (surface area) of a regular hexahedron if each edge has a length of 4.2 cm.

A: here we have to find the total area (surface area ) of a regular hexahedron ,  each edge has a…

Q: Find the area of the largest circle which can be cut from a square of edge 5 in. What is the area of…

A: square edge(L) = 5 in.Area of square = L^2= 5*5= 25 sq.inthe center of the square will be the center…

Q: Find the area of the largest rectangle that can be inscribed in a circle of radius 20 cm.

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Q: Find the area of the shaded portion of two concentric circles whose chord outside the small circle…

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Q: the

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Q: Find the area of the largest rectangle that fits inside a semicircle with a radius of 4.

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Q: Find the volume of a regular tetrahedron whose edge measures 10 m.

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Q: Find the volume and surface area of a sphere that has a great circle whose circumference is 18π

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Q: A square with dimensions 12 cm, 2 cm, 9 cm and a cube have equal volumes. Calculate the edge of the…

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Q: Choose two figures which are topologically equivalent to each other 20 L.

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Q: Find the area of inscribed circle of a regular hexagon whose side has length 8.

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Q: Find the edge of a cube whose volume is equal to that of a rectangular bar measuring 126 cm long, 4…

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Q: Draw a cone that is inscribed in a regular pyramid whose altitude is 5 inches less than 3 times a…

A: Concept: The volume of the cone is 13πr2h The surface area of the cone is πr2+πrl Where r is the…

Q: . What is the largest area of a rectangle that could be inscribed in a semi circle having a radius…

A: We have to find largest area of rectangle that can be inscribed in a semicircle having a radius of…

Q: Find the dimensions of a box with largest volume whose surface area is 100 cm?.

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Q: Find the largest possible area of a rectangle that can be inscribed in a circle having a radius of…

A: We find largest possible area of a rectangle that can be inscribed in a circle having a radius of…

Q: what is the edge length of a dodecahedron with a volume of 958 cubic inches

A: Given : volume of dodecahedron is 958 cubic inches . To find the edge length

Q: Find the surface area of cube. 3 in

A: As we know  surface Area of cube =6(side)2

Q: Three cubes whose edges measure 3 cm, 4 cm, 5 cm respectively to form a single cube. Find its edge…

A: A single cube is formed from three cubes whose edges are measured as 3 cm, 4 cm and 5 cm…

Q: Find the volume of a regular octahedron whose edge measures 6 m.

A: Given :- Side of octahedron = 6m .  To find :- volume of octahedron

Q: Find the surface area of the rectangu prism.

A: We are asked to find the surface area of the rectangle prism.

Q: Find the dimensions of the rectangular box with largest volume if the total surface area is given as…

A: We have to find

Q: Multivariable optimization question

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Q: Find the edge of a cube if its total area is numerically equal to three times its volume.

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Q: Find the radius of a sphere whose volume is 179 cm

A: We have to find the radius of sphere

Q: Find the dimensions of the rectangle of largest area that can be inscribed in a circle of radius 6…

A: Please refer the attached image for complete solution.

Q: Find the length of the diagonal of a cube whose total surface area is 15 sq.cm

A: To find the length of diagonal if a cube whose total surface area is 15 sq cm

Q: A box with a square base and no top has a volume of 500 cubic inches. Find the smallest possible…

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Q: Find the area of the largest rectangle that can be inscribed in a circle of radius 10 inches.

A: According to the given figure the representative diagram is shown as below. Let the length of the…

Q: Find the area of the largest trapezoid that can be inscribed in a circle of radius 1 and whose base…

A: The given circle has radius 1 and a trapezoid is inscribed inside the circle on the diameter of the…

Q: Find the volume of this triangular prism. :)

A: Volume of a triangular prism is calculated by- V=12×b×h×l where b is the base of the prism…

Q: a hemisphere whose radius is 12 inches is surmounted by a right circular lane with the same radius…

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