A cuboid measures 10 cm by 13 cm by 16 cm. After a maximum number of 3-cm cubes are cut from the cuboid, what is the volume of the remaining cuboid.

Q: if 900 square centimeters of material is available to make a box with a square base and an open top,…

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Q: A farmer wishes to enclose a plot of land according to the figure. If he has 450 feet of fencing,…

A: Given: Width=x Length=y

Q: What are the dimensions of the lightest open-top right circular can that will hold a volume of…

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Q: If 1700 square centimeters of material is available to make a box with a square base and an open…

A: GIVEN - 1700 square centimeters of material is available to make a box with square base and an open…

Q: The base of the pyramid is 72 cm, and the length of TP = 15 cm. The volume of the pyramid is..

A: Let B be a base B=72cmLet h be a length of TP h=15cmVolume of pyramid =13Bh=13×72×15=360 cm3

Q: If 1700 square centimeters of material is available to make a box with a square base and an open…

A: Let the side of the square box be x cm and the height of the box be y cm.

Q: THE VOLUME OF A RIGHT PRISM WHOSE HEIGHT IS 6 cm IS 371.61 cu.m. EACH BASE HAS 5 EQUAL SIDES. WHAT…

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Q: Find the total area (surface area) of a regular dodecahedron (12 faces) if the area of each face is…

A: As we know, The dodecahedron is a regular polyhedron of 12 faces. If the mentioned faces are regular…

Q: Determine the volume of the frustum of a square pyramid with base areas 17 sq. cm. and 96 sq cm…

A: Determine the volume of the frustum of a square pyramid with base areas 17 sq. cm. and 96 sq cm…

Q: Two spheres have surface areas of 36cm squared and 49 cm squared. If the volume of the smaller…

A: Surface area of smaller sphereA1 is 36 cm2. Surface area of larger sphereA2 is 49 cm2. Consider the…

Q: the volume of a sphere whose radius is 2cm is four times that of a sphere whose radius is 1cm true…

A: Given,         The volume of a sphere whose radius is 2 cm is four times that of a sphere whose…

Q: 3. Find the length of the diagonal of a cube whose volume is 27 cubic cm.

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Q: The total surface area of a cube with side 6 cm is?

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Q: A regular hexagonal pyramid whose base perimeter is 60 cm has an altitude of 30 cm, the volume of…

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Q: What is the volume of a square-based pyramid with a base side of 4 cm and a height of 10 cm?

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Q: A rectangular box made of recycled carton papers has a capacity of 2880 cu. cm. and surface area of…

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

A: It is known that the surfaces area for the rectangular box with edges is x,y and z is 2xy+yz+zx and…

Q: If 900 square centimeters of material is available to make a box with a square base and an open top,…

A: Surface of a box which is open from the top.It is the the sum of the a2 and 4 rectangles . Let base…

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: Marcus creates a two-dimensional cross-section by slicing a cube parallel to its base. If the volume…

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Q: 7) The base of a prism is a right triangle with legs measuring 16 feet and 4 feet. If the height of…

A: Note: We are entitled to solve only one question at a time. Given: The base of a prism is a right…

Q: What is the maximum volume of a square pyramid that can fit inside a cube with a side length of 14…

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Q: The Great Pyramid of Egypt almost has a square base with length of side of about 230m. If the height…

A: Given that,  The Great Pyramid of Egypt has a square base with a length of side 230m and the height…

Q: • What is the largest rectangular area that can be enclosed by a fencing material 240m in length?

A: Here we have to find the area of the largest rectangle having perimeter= 240 m  Let the breadth of…

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

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Q: A 20​-ft by 40​-ft rectangular swimming pool is surrounded by a walkway of uniform width. If the…

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Q: a rectangular prism tank has a base with a length of 40 inches a width of 35 inches and a height of…

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Q: A solid cube of metal whose edges are 22 cm is melted and recast into rectangular solid whose base…

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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: If the volume of a sphere is 2304 cm cubed. Then what is the radius.  Can you please show the…

A: →Volume of sphere is given by,                                                 V = 43π r3

Q: The street department's storage building, which is used to store the rock, gravel, and salt used on…

A: The volume of a regular hexagonal pyramid with altitude h and side length b is defined as…

Q: A rectangular pyramid has a base that is 16 inches long and 8 inches wide. The Volume of the pyramid…

A: Here we given Length =16 inches Width = 8inches Volume=640 cubic inches

Q: If the areas of three adjacent face of a cuboid are 8cm2 , 18 cm2 , 25 cm2 .Find the volume of the…

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Q: Find the dimensions of the largest box with a square base that can be cut from a solid sphere of…

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Q: Find the area of the base of a regular square pyramid whose lateral faces are equilateral triangles…

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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: Calculate the volume of the regular tetrahedron in the figure knowing that its edge AB=1Ocm.…

A: Given data: edge AB= a= 10 cm

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

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Q: The volume of a triangular pyramid is 300 cubic meters. What is the area of the pyramid's base if…

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Q: Two identical cubes each of total surface area of 294 cm are joined end to end. What is the total…

A: Given,           Two identical cubes each of total surface area of 294 cm2 are joined end to end. To…

Q: An open box is to be made from a square piece of married by cutting  4 cm squares from each corner…

A: Given, The volume of the finished box is 324 cm3.The side of the cutting squares is 4 cm.To find the…

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: The street department's storage building, which is used to store the rock, gravel, and salt used on…

A: The Volume of the regular hexagonal pyramid with altitude h and side length a is define as…

Q: The perimeters of the ends of  a frustum are 48 cm and 36 cm. If the height of the frustum be 11 cm.…

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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 lead pencil whose ends are regular hexagons was cut from a cylindrical piece of wood, with the…

A: It is given that the diameter of the cylindrical piece of wood is 0.5 in. Then the side length of…

Q: Calculate the total area of the truncated tetrahedron knowing that its edge measures 12 cm.

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Q: ron whose edge measures 6 m

A: Given that the edge measure of a regular icosahedron is 6m.