5. The dimensions of a rectangular parallelepiped are in a ratio of 1:3:4. If the volume is 9,000 cubic meters, find its dimensions.

Q: A contractor has to build rectangular pool 12 metres long and 8 metres wide. The pool must,by…

A: Consider the given statement. Let x be the border of the pool. Draw a rough diagram for the given…

Q: The volumes of two spheres are in the ratio 64:27. The ratio of their surface areas will be?

A: Volume of sphere =43πr3Surface area  of sphere =4πr2

Q: 1. If the length of the radius of the base of the cone is r, what is the area of its base? 2. If the…

A: Given radius of base of cone is r we have to find the area of its base

Q: A sphere with radius R is circumscribed around a cylinder. The cylinder has radius r and height that…

A:

Q: 7) Given the similarity ratio between two octagons is and the perimeter of the smaller octagon is…

A:

Q: 5. A steel girder 27 feet long is to be moved on rollers along a passageway 8 feet in width and into…

A: Length of steel girder =27ft width of the passage way=8ft Let w be the width which has to be found.…

Q: 1. A gutter with trapezoidal cross section is to be made from a long sheet of tin that is 18 inches…

A:

Q: the diagonals of a rectangle ore 48 centimecters long Ond intersect at an ongle of 32°. What Is the…

A: The graphical representation of the given data is shown as the following. So, as per the question,…

Q: If a cylinder, a hemisphere and a cone stand on equal bases and have the same heights, what will be…

A:

Q: 1. Find the volume and total area of a rectangular parallelepiped which is 15 ft high and the side…

A: Explanation of the answer is as follows

Q: A cube has an edge of length 30. A rectangular solid has edge of lengths 20, 30 and L. If the cube…

A: Given: A cube has an edge of length 30. A rectangular solid has an edge of lengths 20, 30 and L.…

Q: . The ratio between the curved surface area and the total surface area of a right circular cylinder…

A:

Q: 3. The volume of oblique prism with a pentagon base is 9000 cubic feet. and an edge of 150 feet…

A: Given- The volume =9000 ft3,length of the edge= 150 ft, θ=30°. To Find- The length of the side.…

Q: A prism with height 2 m and a pyramid with height 5 m have congruenttriangular bases. Find the ratio…

A: Volume of Prism = area of base of prism × height   i.e. ,                     = A×2       (Let A…

Q: A circle has an area of 144 cm^2 is cut into two segments by a chord that is 9 cm from the center of…

A: Given: The area of the circle is 144π cm2 here you doing typing mistake , area should be 144π if…

Q: The ratio of the lengths of the radii of two similar cones is 3:5. What is the ratio of the surface…

A:

Q: c) A triangular sail has a perimeter of 25 m. Side a is 2 m shorter than twice side b, and side cis…

A: Find the side a,b,c

Q: If the length of the radius and the height of a right circular cylinder are both tripled to form a…

A:

Q: 3. Find the area of the base of a regular square pyramid whose lateral faces are equilateral…

A: Solution by pythogoras theorem

Q: If the length of the base of a rectangular is increased by 30% and the length of the altitude is…

A: If the length of the base of a rectangular is increased by 30% and the length of the altitude is…

Q: The surface of a soccer ball is composed of 12 regular pentagons and 20 regular hexagons. With each…

A: Given, the surface of soccer ball is composed of 12 regular pentagons and 20 regular hexagons. Each…

Q: A pool measuring 10 meters by 20 meters is surrounded by a path of uniform width, as shown in the…

A: Given a pool measuring 10 meters by 20 meters is surrounded by a path of uniform width and area of…

Q: If the length of the radius and the height of a right circular cylinder are both quadrupled to form…

A: Let smaller cylinder dimensionsRadius=rHeight=h∴ volume=πr2hLarger cylinder…

Q: 1.) A Norman window consists of a rectangle surmounted by a semicircle. If the the perimeter of a…

A:

Q: A factory is to be built on a lot measuring 160 ft by 300 ft. A local building code specifies that a…

A: It is given that The factory and the lawn occupy equal areas. Suppose  that, The length of the…

Q: 20. The diagonals of a rectangular trapezold have a length 13 cm and 15 cm and the difTerence in the…

A:

Q: A cylindrical standpipe is to contain 343,000gallons of water. If the height is to be twice its…

A:

Q: 8) Given the similarity ratio between two circles is 4 and the area of the bigger circle is 60 ft?,…

A: For two circles ratio of their areas equal to square of their similarity ratio

Q: 35.) What is the volume of a square pyramid with a base edge of 14 m and a slant height of 25 m?

A:

Q: 1. A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of a Norman…

A:

Q: A trapezoid has an area of 36 m2 and an altitude of 2 m. Its two bases have ratio of 4:5. What are…

A: given: A trapezoid has an area of and an altitude of 2m. the two bases of the trapezoid have ratio…

Q: .If the lateral area of a right circular cylinder is 90 cm2 and its volume is 225 cm3, find its…

A: Given that: Lateral area of a right circular cylinder, A=90 cm2Volume of cylinder, V=225 cm3

Q: 19. A drawbridge that is 104 ft in length is raised at its midpoint so that the uppermost points are…

A: Given,            A drawbridge that is 104 ft in length is raised at its midpoint so that the…

Q: Two square pyramids are similar. If the ratio of a pair of corresponding edges is a : b, what is the…

A:

Q: f two pyramids are similar to with slant heights in the ratio of 3:8, what is the ratio of their…

A: For similar objects, the ratio of their surface area is equal to the ratio of squares of their…

Q: 2. A circle with radius 7cm has half its area removed by cutting off a border of uniform width. Find…

A: We have to find width of border.

Q: 6. Find the difference of the areas of a square and a semi-circle if the square is inscribed in the…

A:

Q: 4. If the length of the diagonal of a rectangular box must be L, what is the largest possible…

A:

Q: 6. The area of a trapezium is 400 cm2 and the length of the parallel sides is 13 cm and 27 cm. Find…

A: We have to use area of trapezium formula.

Q: A calendar is determined by using each of the 12 faces of a regular dodecahedron for one month of…

A: Dodecahedron is a hollow figure like football with 12 faces, for example we have 6 faces in a…

Q: 2. A sphere is inscribed in a right circular cone whose slant height has a length equal to that of…

A: Given:

Q: 1. How many square meters of canvass are required for a conical tent 5.5 m high and 3 m diameter if…

A: Follow step 2,3 &4. According to guidelines we solve only first three parts.

Q: circumscribed a triangle having an area of 96 sq.cm. If one of the sides of the triangle is 20 cm,…

A: Given query is to find the sides of the triangle and the ratio of indicated areas.

Q: 2. A trapezoid 6 m in altitude have bases of 12 m and 18 m respectively. If it is divided into two…

A:

Q: A factory is to be built on a lot measuring 120 ft by 160 ft. A local building code specifies that a…

A: Given: A factory is to be built on a lot measuring 120 ft by 160 ft. A local building code specifies…

Q: Suppose you have a rectangular pyramid with a base length of 4.5 in, a width of 7 in, and a pyramid…

A: Base length of pyramid:= 4.5 in Width of pyramid:= 7 in Height of pyramid:= 16 in   Now:          If…

Q: 2. The volumes of two similar pyramids are 1331 cm³ and 2744 cm³. Find the ratio of their heights.…

A:

Q: A factory is to be built on a lot measuring 114 ft by 152 ft. A local building code specifies that a…

A: Given: total area of yard and building = 114 ×152 ft2 = 17328 ft2 Now it is given that according to…

Q: A cone has a radius of 9 and a height of 6. What is the volume?

A: Since, the exact question was not specified. We can answer very first question only. To find: The…

Q: 1. The inside of a wash basin is in the shape of a segment of a sphere; the distance across the top…

A: Calculation of Required Volume.