India's Super Teachers for all govt. exams Under One Roof
Given: The ratio of the volume of the cube = 27 : 125 Formula used: The volume of cube = a3 The surface area of cube = 6a2 Calculation: Let the sides of two cubes be a1 and a2 respectively Then, (a1)3 : (a2)3 = 27 : 125 ⇒ a1 : a2 = 3 : 5 The ratio of their of surface areas = 6(a1)2 : 6(a2)2 ⇒ (a1)2 : (a2)2 ⇒ 32 : 52 ⇒ 9 : 25 ∴ The ratio of their surface areas is 9 : 25 India’s #1 Learning Platform Start Complete Exam Preparation
Video Lessons & PDF Notes Trusted by 3,05,89,591+ Students
Cube is a three-dimensional figure composed of six square faces, facets, or sides, with three meeting at each vertex. There are square sheets stacked together that are characterized by three dimensions, being length, breadth, and height. All these dimensions are equivalent in length. There are 12 edges and 6 faces composing the cube. Area of cube The area of the cube is defined as the space enclosed within it. The area of any square sheet forming the faces of the cube is defined as the product of any two dimensions, such as length and breadth. Let us assume A to be the area of the cube. It is defined in terms of square units. Now, A = length × breadth Since, all the sides of the cube are equal, A = a × a A = a2 Volume of cube The volume of a cube is defined as the matter contained within the figure. It is the total quantity of the substance contained within the cube. The volume of a cube is defined as the product of all the dimensions of the cube, defined using its, length, breadth, and height. Volume of the cube is defined in terms of cubic units. Now, since all the sides of the cube are equal, Volume = length × breadth × height Let us assume V to be the volume and a to be the same side of the cube. V = a × a × a V = a3 Solution:
Similar QuestionsQuestion 1: Two cubes have volume in the ratio 1:64. The ratio of the sides of one cube to that of the other is? Solution:
Question 2: Find the ratio of areas according to the above problem. Solution:
Question 3: Two cubes have volume in the ratio n:n/8. The ratio of the sides of one cube to that of the other is Solution:
Question 4: Calculate the ratio of the area of a cube to its volume for a cube of side n. Solution:
Question 5: If the volume of a cube with side 7 cm is 343 cm3. Calculate its area. Solution:
Article Tags : Open in App Suggest Corrections 14 |