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Q: Suppose that the base of the square pyramid below has an area of 12 cm2 and that the altitude of the…
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Q: Suppose that each of the bases of the hexagonal prism below has an area of 16 cm2 and that each…
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Q: Suppose that each of the bases of the hexagonal prism below has an area of 15 cm2 and that each…
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Q: Suppose that each of the bases of the hexagonal prism below has an area of 14 cm2 and that each…
A: Mensuration Question
Q: Find the volume of a pyramid whose base is a square with side L and whose height is H
A: Pyramid: base is a square with side L. base area = L x L = L2 height = H…
Q: Suppose that each of the bases of the hexagonal prism in Exercise 1 has an area of 12 cm² and that…
A: Given: The area of each bases of a hexagonal prism is, Abase=12 cm2. The altitude of the hexagonal…
Q: The formula for the volume of a cone is most closely related to which of the following…
A: The formula for the volume of a cone is most closely related to which of the following…
Q: Derive the formula for the volume of a right pyramid whose altitude is h and whose base is a square…
A: We have to derive the formula for the volume of a right pyramid whose altitude is 'h' and whose base…
Q: Suppose that each of the bases of the triangular prism in Exercise 2 has an area of 3.4 cm? and that…
A: Consider the given: Find the volume of Prism: The Volume of Prism = Base Area ×height It is given…
Q: Find the volume of a pyramid with a square base, where the perimeter of the base is 18.5 ft and the…
A: Base is square. Perimeter of the base = 18.5 ft 4a = 18.5 a = 18.54 = 4.625 ft
Q: If a cube has a surface area of 216 cm2, what is its volume?
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Q: A sphere is inscribed in a right circular cone whose slant height has a length equal to the diameter…
A: Given:
Q: Find the surface area of a cube, given that given that its volume is 343cm3
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Q: A train car is in shape of a right rectangular prism and has a volume of540 ft as shown
A: Suppose, the height of the train car is, h feet It has length 12 feet and breadth 4.5 feet
Q: The lengths of the legs of a right triangle are 4 cm and 6 cm. If the triangle is rotated about one…
A: Given data is : The lengths of the legs of a right triangle are 4 cm and 6 cm To find the greatest…
Q: Find the height of the prismatoid with a volume 64 if the base areas are 8 cm^2 and 22 cm^2, if the…
A: Given Information - Base area of prismatoid = 8 cm2 and 22 cm2 Area of mid section = 10 cm2…
Q: A sphere is inscribed in a right circular cone whose slant height has a length equal to the diameter…
A: Given The slant height and diameter of the cone is 12cm.
Q: What is the area of the base of a triangular prism that has a volume of 273 cm3 and a height of 3.5…
A: Base area of A triangular prism= volume/ height
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: Find the volume of a pyramid with a square base, where the area of the base is 8.7 m2 and the height…
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Q: Find the volume of a regular triangular pyramid if the length of one side of the base is 12 cm and…
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Q: Find the volume of a pyramid with a square base, where the area of the base is 19cm2 and the height…
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Q: A sphere is inscribed in a right circular cone whose slant height has a length equal to the diameter…
A: Given: A sphere is inscribed in a cone whose slant height equal to diameter =12 cm
Q: A sphere is inscribed in a right circular cone whose slant height has a length equal to the diameter…
A: A sphere is inscribed in a right circular cone whose slant height has a length equal to the diameter…
Q: What is the volume, in cubic in, of a cylinder with a height of 20in and a base radius of 6in, to…
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Q: What is the volume, in cubic in, of a cylinder with a height of 20in and a base radius of 6in, to…
A: Cylinder:h = 20 in.r = 6 in.volume, V = ?
Q: What is the volume, in cubic in, of a cylinder with a height of 20in and a base radius of 6in, to…
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Q: The volume of a circular cylinder is 1280A m³, and its height is 5 m. What is the radius of its…
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Q: What is the volume, in cubic in, of a cylinder with a height of 15in and a base radius of 5in, to…
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Q: Find the volume of a pyramid with a square base, where the side length of the base is 7.2\text{…
A: Volume of pyramid=13 × area of base ×height Area of base = area of square = 7.2 × 7.2…
Q: What is the volume, in cubic in, of a cylinder with a height of 8in and a base radius of 2in, to the…
A: Volume is the space covered by the object or any geometric figure in a three dimensional space. It…
Q: Find the volume of a regular square pyramid shown if each edge of the base measures 8ft. and the…
A: Volume = 1/3 * B * H B= area of the Base H= height ( altitude ) of the pyramid Given : b= 8 ft and…
Q: Two similar cones have areas of 16n in² and 49n in?. If the Volume of the larger cone is 1250 in³,…
A: According to the problem, we have
Q: Find the volume of a pyramid with a square base, where the perimeter of the base is 4.1 m and the…
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Q: Find the volume of a pyramid with a square base, where the side length of the base is 16.6 m and the…
A: Volume of Pyramid = {(base width)(base length)(pyramid height)}/3
Q: A display case is made of one rectangular prism stacked on top of a second rectangular prism. 4 ft 3…
A: Given
Q: If 1200 cm? of material is available to make a box with a square base and an open top, find the…
A: Given, material available = 1200 cm2 Let's assume the sides of the square base = a Height of the…
Q: Derive the formula for the volume of a right pyramid whose altitude is h and whose base is a square…
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Q: Suppose an oil pan has the rectangular dimensions 14 in. by 16 in. by 3 in. Find its volume (in…
A: From the given information, it is observed that the dimension of oil pan is 14 in. × 16 in. × 3 in.…
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: Find the surface area of a sphere, given that its volume is 970cm3
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Q: If 30,000 cm2 of material is available to make a box with a square base and an open top, find the…
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Q: If 30,000 cm2 of material is available to make a box with a square base and an open top, find the…
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Q: If 30,000 cm2 of material is available to make a box with a square base and an open top, find the…
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Q: Find the volume of the given pyramid, which has a square base of area 9 and height 5. →y 3
A: Given the height of the pyramid (h)=5 unit And the base of area of the pyramid (B)=9 unit square To…
Q: Find the exact volume of a sphere whose length of radius is 1.5 in.
A: Given the radius of the sphere (r)=1.5 inches. We need to find the exact volume of the sphere.
Q: Find the exact volume of a sphere whose length of radius is 1.5 in.
A: Formula v=43πr3
Q: Find the volume of the composite solid. 2 in. 4 in.
A: The volume of the cone is calculated by using the formula, V=13πr2h, where r is the radius of the…
Q: Find the volume of a right circular cone that has a height of 11.9 in and a base with a radius of 14…
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Q: Find approximately the volume of wood required to make a cubical box of edge length 8 ft., using…
A: Convert all the measurements into inches. 8 ft=8·12 in= 96 in. We find the volume of wood required…