A box in a shape of a cube is enclosed in a sphere. if the edges of the cube are touching the sphere and the volume of the cube is 2744. what is the volume inside the sphere that is not occupied by the cube?

Q: A rectangular prism has a length of 18 meters, a height of 19 meters, and a width of 11 meters. What…

A: By using formula for volume of rectangular prism we solve the given problem as follows :

Q: A doll-manufacturing company wishes to create a display box with a square base and open front side.…

A: Let's find.

Q: Find the volume of a pyramid with a square base, where the area of the base is 8.7 m2 and the height…

A:

Q: The base edge of a regular triangular clam pie is 54 cm. Calculate the volume of I- the pyramid, if…

A:

Q: hat would happen to the volume of the cone if the radius of its base is tripled and the height is…

A: Given that: A cone

Q: What is the volume of a sphere with radius = 109m?

A:

Q: What is the volume of a traingular prism

A: we have to find volume of the triangular prism Let there be a triangular prism having dimensions a,…

Q: Suppose the pentagon below represents the base of a pentagon prism that has a height of 8 inches.…

A: We need to find area of pentagon and then multiply it by height to get volume of solid .

Q: If the volume of the box is 252 in^3, find the value of x

A: Recall, Volume of a cuboid = length x breadth x height Hence, 252 = (x + 3)x.6  Or, x(x + 3) = 252/6…

Q: If the edge of a cube is doubled, the total area is multiplied by ___ and___the volume is multiplied…

A: For a cube with side length a, its surface area is 6a2 and volume is a3. Now suppose the side length…

Q: The volume of a sphere is 343n cm3. If you enlarge the radius of the sphere by three times, what…

A:

Q: what is the volume of the regular pyramid to the nearest whole number

A: We want to find volume of a regular pyramid.

Q: The numerical value of the volume of a cube equals the numerical value of its total surface area.…

A: Given, The volume of a cube=The surface area of cube To find the length of each edge of the cube.

Q: Find the volume and the surface area of a “closed box" that has dimensions of 9 in., 10 in., and 1…

A: Given: The dimensions of the closed box are 9in 10in and 1 ft, To find the surface area of the…

Q: A doll-manufacturing company wishes to create a display box with a square base and open front side.…

A: Given Let the side of square base of open box is a and height is h. also given surface area is 486…

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

A: Volume = A×A×H Where A is surface area and H is Hight

Q: Find the volume of a pyramid with a square base, where the perimeter of the base is 10.7 ft and the…

A:

Q: Find the volume of a pyramid with a square base, where the perimeter of the base is 10.7\text{…

A: Solution

Q: If 30,000 cm2 of material is available to make a box with a square base and an open top, find the…

A:

Q: A rectangular prism has a base area of 17 and height of 6. What is the volume of the prism?

A: Here we have given that base area of a prism is 17sq units. And the height of a prism is 6 units. As…

Q: Find the volume of a pyramid with a square base, where the side length of the base is 4.7\text{…

A: Volume of a pyramid with square base of length a and height h is given by  V= a²h/3 cubic unit

Q: A cube with edge length of 10cm is inscribed with a sphere, what is the volume of the sphere in…

A:

Q: . Assume three identical tennis balls fit into a can with no room to spare. If the can is 12 inches…

A: Given :-  Three tennis balls need a space of 12 inches to fit.    Hence, diameter of each ball = 4…

Q: Find the volume of a pyramid with a square base, where the perimeter of the base is 4.1 m and the…

A:

Q: What is the volume of this prism?

A: The volume of prism = B*H where B = Base Area of triangle               = 1/2*(12*16)=96 m2 Height…

Q: Find the volume of a cubic packing box with side length of 8.

A: The volume of the cube is a^3, if the length of the each side is a

Q: Find the volume and the total area of a cube with edge 2k

A: Given the edge of the cube is 2k. To find the volume and total area. Volume of cube = a3 Total area…

Q: The base of a pyramid is a right triangle. If the legs of the right triangle have lengths 8 and 6,…

A:

Q: If 1,200 cm2 of material is available to make a box with a square base and an open top, find the…

A:

Q: What is the volume and surface area if the cube has a side lenght of 1.

A: Given that:

Q: Find the volume of a pyramid with a square base with a perimeter of the base is 12.8m and the height…

A:

Q: In a concrete retaining wall of 10m long, 5m high and 200mm thick, if three rectangular holes of…

A:

Q: A sphere with a diameter of 30 inches would have a volume closest to which of the following 0) 940…

A: The objective is to find the volume of given sphere

Q: Find the volume of a sphere with a diamater of 8.

A: Volume of a sphere with (diameter=8cm)=? radius of sphere=diamter/2=4cm

Q: If 30,000 cm2 of material is available to make a box with a square base and an open top, find the…

A:

Q: If 10,800 cm2 of material is available to make a box with a square base and an open top, find the…

A:

Q: If 30,000 cm2 of material is available to make a box with a square base and an open top, find the…

A:

Q: Find the volume of a right circular cone that has a height of m and a base with a radius of 3.9 m.…

A:

Q: A box with an open top is to be constructed from a square piece of cardboard, 24 inches wide, by…

A:

Q: A triangular prism has a base area of 15 and height of 2. What is the volume of the prism?

A: the volume of a triangular prism can be calculated by multiplying the base area by the height…

Q: A lab technician made a 14cm diameter hole through the middle of a cylinder that has a diameter of…

A: We can find the volume of finished cylinder as below

Q: What is the volume of a sphere with radius 4? Round to the nearest whole number

A: For this problem we need to find volume of a sphere using formula.

Q: What happens to the volume of a box if the dimensions of the base are doubled?

A: In other words, volume of the box = Area of the base * Height of the box  ...(1) If dimensions of…

Q: The volume of a sphere is 125T cm3. If you enlarge the radius of the sphere by four times, what will…

A:

Q: What is the volume of the composite figure?

A: Volume of upper stair  = 6*2*4  = 48 cu. ft    Volume of middle stair  = 6*2*8  = 96 cu. ft…

Q: find the volume of a cube with a side length of 2.8m to the nearest tenth of a cubic meter (if…

A:

Q: A right circular cone has a volume of 128π/3 cm3 and an altitude of 8 cm. The lateral area is

A: Given that

Q: Find the volume of a sphere with area 9 π

A: Given, area of sphere is 9 π. To find volume of the sphere. We know that, Area of sphere = 4πr2…

Q: If 4,800 cm2 of material is available to make a box with a square base and an open top, find the…

A: