The sum of the length, breadth and height of a cuboid is 6√3cm and the length of its diagonal is 2√3cm. the total surface area of the cuboid is

Let length, breadth and height of the cuboid be l cm, b cm and h cm, respectively. Given: l + b + h = 38 cm and diagonal = 22 cm. To find: total surface area of the cuboid Diagonal of cuboid =`sqrt(l^2+b^2+h^2)` `sqrt(l^2+b^2+h^2)=22` `l^2+b^2+h^2=484" .........(i)"` `"As "l+b+h=38` `(l+b+h)^2=1444` `l^2+b^2+h^2+2(lb+bh+lh)=1444` `484=2(lb+bh+lh)=1444" .................From(i)"` `2(lb+bh+lh)=960` The surface area of the cuboid is 960 cm 2.

Views: 5,606 7.1 1. Find the volume of a cone if the radius of its base is 1.5 cm and its perpendicular height is 5 cm . → 11.79 cm 2. Find the volume of a sphere of diameter 6 \mathrm . \rightarrow \Perp 3,04 3. Find the total surface area of a cylinder if the radius of its base is 5 cm and height is 40 cm - 1413 4. Find the surface area of a sphere of radius 7 cm. 5. The dimensions of a cuboid are 44 cm , 21 cm , 12 cm. It is melted and a cone of height 24 cm is made. Find the radius of its base. The sum of the length, breadth and height of a cuboid is 6√3cm and the length of its diagonal is 2√3cm. The total surface area of the cuboid is (a) 48 cm2 (b) 72 cm2 (c) 96 cm2 (d) 108 cm2 Updated On Jan 2, 2023 Topic All topics Subject Mathematics Class Class 10 Answer Type Video solution: 1 Upvotes 85 Avg. Video Duration 7 min

Cuboid A cuboid is a three-dimensional geometric shape that looks like a book or a rectangular box. It is one of the most commonly seen shapes around us which has three dimensions: length, width, and height. Sometimes the cuboid shape is confused with a cube since it shares some properties of a cube, however, they are different from each other. Cuboids are commonly used in everyday life in the form of packaging boxes, building materials (such as bricks), electronic devices (such as mobiles and tablets), etc. Thus, it is very important to study about the cuboids and formulas related to volume and surface area of cuboids. 1. 2. 3. 4. 5. 6. What is a Cuboid? We know that a cuboid. Observe the following cuboid which shows its three dimensions: length, width, and height. A cuboid is also known as a " Dimensions of a Cuboid It should be noted that there is no strict rule according to which an edge of a cuboid shape should be named as its length, width (breadth), or height. However, it is understood that if a cuboid is placed on a flat table, then • the height represents the length of any vertical edge; • the length is taken to be the larger of the two dimensions of the horizontal face of the cuboid, and • the width is the smaller of the two dimensions. These dimensions of a cuboid are denoted by 'l' for length, 'w' for width (breadth), and 'h' for height. Apart from these, the face of a cuboid is the flat surface; the edge is the Diagonals of a Cuboid Since a cuboid is a 3D shap...

Maths Sample Paper Class 10 2022-23 PDF with Solutions Download Maths Sample Paper Class 10 2022-23 PDF with Solutions Download for CBSE 2023 exam. • Maths Sample Paper Class 10 • Class 10 Maths Sample Paper 2022-23 • CBSE Class 10th Standard & Basic Maths Sample Paper Maths Sample Paper Class 10 2022-23 cbse Maths Sample Paper Class 10 2022-23 PDF with Solutions Download for 2023 exam. Class- 10th Maths 2022-23 Subject- Mathematics (Standard) Sample Question Paper Time Allowed: 3 Hrs. Maximum Marks : 80 General Instructions: • This Question Paper has 5 Sections A-E. • Section A has 20 MCQs carrying 1 mark each • Section B has 5 questions carrying 02 marks each. • Section C has 6 questions carrying 03 marks each. • Section D has 4 questions carrying 05 marks each. • Section E has 3 case based integrated units of assessment (04 marks each) with sub- parts of the values of 1, 1 and 2 marks each respectively. • All Questions are compulsory. However, an internal choice in 2 Qs of 5 marks, 2 Qs of 3 marks and 2 Questions of 2 marks has been provided. An internal choice has been provided in the 2marks questions of Section E • Draw neat figures wherever required. Take π =22/7 wherever required if not stated. SECTION A Section A consists of 20 questions of 1 mark each. S.NO . MA RKS 1 Let a and b be two positive integers such that a = p 3 q 4 and b = p 2 q 3 , where p and q are prime numbers. If HCF(a,b) = p m q n and LCM(a,b) = p r q s , then (m+n)(r+s)= (a) 15 (b) 30 (c) 35 (d) ...

Given- Sum of length, breadth and height = 20 cm Length of the diagonal = 12 cm Formula Used- Length of diagonal of a cuboid =√(l 2+ b 2+ h 2)[where l = length, b = breadth and h = height] Total Surface Area of cuboid = 2(lb + bh + hl)[where l = length, b = breadth and h = height] (l+ b + h) 2=l 2+ b 2+ h 2+2(lb + bh + hl) Calculation- According to condition - √(l 2+ b 2+ h 2) = 12 ⇒l 2+ b 2+ h 2= 144 Again, l + b + h = 20 ⇒ (l + b + h) 2= 400 ⇒l 2+ b 2+ h 2+2(lb + bh + hl) = 400 ⇒2(lb + bh + hl) = 400 - 144 ⇒2(lb + bh + hl) = 256 ∴ The total surface area of cuboid = 256 cm 2